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Finding the Fourth Proportional to 461.12, 691.43 and 152.87

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Solution

The fourth proportional to 461.12, 691.43 and 152.87 is: 229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 691.43 = 152.87 : x
  2. Step 2: Convert to fraction form
    461.12/691.43 = 152.87/x
  3. Step 3: Cross multiply
    461.12x = 691.43 × 152.87
  4. Step 4: Simplify right side
    461.12x = 105,694.68
  5. Step 5: Solve for x
    x = 105,694.68/461.12
  6. Step 6: Final answer
    x = 229.22

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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.