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Finding the Fourth Proportional to 306.97, 460.57 and 142.52

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Solution

The fourth proportional to 306.97, 460.57 and 142.52 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.97 : 460.57 = 142.52 : x
  2. Step 2: Convert to fraction form
    306.97/460.57 = 142.52/x
  3. Step 3: Cross multiply
    306.97x = 460.57 × 142.52
  4. Step 4: Simplify right side
    306.97x = 65,637.42
  5. Step 5: Solve for x
    x = 65,637.42/306.97
  6. Step 6: Final answer
    x = 213.83

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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.