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Finding the Fourth Proportional to 257.29, 385.97 and 113.01

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Solution

The fourth proportional to 257.29, 385.97 and 113.01 is: 169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.29 : 385.97 = 113.01 : x
  2. Step 2: Convert to fraction form
    257.29/385.97 = 113.01/x
  3. Step 3: Cross multiply
    257.29x = 385.97 × 113.01
  4. Step 4: Simplify right side
    257.29x = 43,618.47
  5. Step 5: Solve for x
    x = 43,618.47/257.29
  6. Step 6: Final answer
    x = 169.53

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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.