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Finding the Fourth Proportional to 239.46, 330.14 and 152.12

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Solution

The fourth proportional to 239.46, 330.14 and 152.12 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.46 : 330.14 = 152.12 : x
  2. Step 2: Convert to fraction form
    239.46/330.14 = 152.12/x
  3. Step 3: Cross multiply
    239.46x = 330.14 × 152.12
  4. Step 4: Simplify right side
    239.46x = 50,220.90
  5. Step 5: Solve for x
    x = 50,220.90/239.46
  6. Step 6: Final answer
    x = 209.73

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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.