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Finding the Fourth Proportional to 257.14, 385.87 and 101.10

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Solution

The fourth proportional to 257.14, 385.87 and 101.10 is: 151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.14 : 385.87 = 101.10 : x
  2. Step 2: Convert to fraction form
    257.14/385.87 = 101.10/x
  3. Step 3: Cross multiply
    257.14x = 385.87 × 101.10
  4. Step 4: Simplify right side
    257.14x = 39,009.27
  5. Step 5: Solve for x
    x = 39,009.27/257.14
  6. Step 6: Final answer
    x = 151.71

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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.