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Finding the Fourth Proportional to 240.72, 332.18 and 135.82

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Solution

The fourth proportional to 240.72, 332.18 and 135.82 is: 187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 332.18 = 135.82 : x
  2. Step 2: Convert to fraction form
    240.72/332.18 = 135.82/x
  3. Step 3: Cross multiply
    240.72x = 332.18 × 135.82
  4. Step 4: Simplify right side
    240.72x = 45,115.06
  5. Step 5: Solve for x
    x = 45,115.06/240.72
  6. Step 6: Final answer
    x = 187.42

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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.