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Finding the Fourth Proportional to 240.75, 332.13 and 147.45

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Solution

The fourth proportional to 240.75, 332.13 and 147.45 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 332.13 = 147.45 : x
  2. Step 2: Convert to fraction form
    240.75/332.13 = 147.45/x
  3. Step 3: Cross multiply
    240.75x = 332.13 × 147.45
  4. Step 4: Simplify right side
    240.75x = 48,972.57
  5. Step 5: Solve for x
    x = 48,972.57/240.75
  6. Step 6: Final answer
    x = 203.42

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