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Finding the Fourth Proportional to 240.68, 332.06 and 147.42

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Solution

The fourth proportional to 240.68, 332.06 and 147.42 is: 203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.68 : 332.06 = 147.42 : x
  2. Step 2: Convert to fraction form
    240.68/332.06 = 147.42/x
  3. Step 3: Cross multiply
    240.68x = 332.06 × 147.42
  4. Step 4: Simplify right side
    240.68x = 48,951.55
  5. Step 5: Solve for x
    x = 48,951.55/240.68
  6. Step 6: Final answer
    x = 203.39

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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.