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Finding the Fourth Proportional to 513.55, 770.33 and 166.96

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Solution

The fourth proportional to 513.55, 770.33 and 166.96 is: 250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.55 : 770.33 = 166.96 : x
  2. Step 2: Convert to fraction form
    513.55/770.33 = 166.96/x
  3. Step 3: Cross multiply
    513.55x = 770.33 × 166.96
  4. Step 4: Simplify right side
    513.55x = 128,614.30
  5. Step 5: Solve for x
    x = 128,614.30/513.55
  6. Step 6: Final answer
    x = 250.44

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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.