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Finding the Fourth Proportional to 257.17, 354.90 and 140.74

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Solution

The fourth proportional to 257.17, 354.90 and 140.74 is: 194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.17 : 354.90 = 140.74 : x
  2. Step 2: Convert to fraction form
    257.17/354.90 = 140.74/x
  3. Step 3: Cross multiply
    257.17x = 354.90 × 140.74
  4. Step 4: Simplify right side
    257.17x = 49,948.63
  5. Step 5: Solve for x
    x = 49,948.63/257.17
  6. Step 6: Final answer
    x = 194.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.