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Finding the Fourth Proportional to 257.16, 354.88 and 140.72

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Solution

The fourth proportional to 257.16, 354.88 and 140.72 is: 194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 354.88 = 140.72 : x
  2. Step 2: Convert to fraction form
    257.16/354.88 = 140.72/x
  3. Step 3: Cross multiply
    257.16x = 354.88 × 140.72
  4. Step 4: Simplify right side
    257.16x = 49,938.71
  5. Step 5: Solve for x
    x = 49,938.71/257.16
  6. Step 6: Final answer
    x = 194.19

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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.