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Finding the Fourth Proportional to 576.96, 865.48 and 166.10

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Solution

The fourth proportional to 576.96, 865.48 and 166.10 is: 249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.96 : 865.48 = 166.10 : x
  2. Step 2: Convert to fraction form
    576.96/865.48 = 166.10/x
  3. Step 3: Cross multiply
    576.96x = 865.48 × 166.10
  4. Step 4: Simplify right side
    576.96x = 143,754.70
  5. Step 5: Solve for x
    x = 143,754.70/576.96
  6. Step 6: Final answer
    x = 249.16

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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.