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Finding the Fourth Proportional to 513.06, 769.66 and 166.28

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Solution

The fourth proportional to 513.06, 769.66 and 166.28 is: 249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.06 : 769.66 = 166.28 : x
  2. Step 2: Convert to fraction form
    513.06/769.66 = 166.28/x
  3. Step 3: Cross multiply
    513.06x = 769.66 × 166.28
  4. Step 4: Simplify right side
    513.06x = 127,979.06
  5. Step 5: Solve for x
    x = 127,979.06/513.06
  6. Step 6: Final answer
    x = 249.44

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.