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Finding the Fourth Proportional to 257.16, 385.92 and 141.72

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Solution

The fourth proportional to 257.16, 385.92 and 141.72 is: 212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 385.92 = 141.72 : x
  2. Step 2: Convert to fraction form
    257.16/385.92 = 141.72/x
  3. Step 3: Cross multiply
    257.16x = 385.92 × 141.72
  4. Step 4: Simplify right side
    257.16x = 54,692.58
  5. Step 5: Solve for x
    x = 54,692.58/257.16
  6. Step 6: Final answer
    x = 212.68

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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.