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Finding the Fourth Proportional to 254.32, 381.51 and 239.14

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Solution

The fourth proportional to 254.32, 381.51 and 239.14 is: 358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.32 : 381.51 = 239.14 : x
  2. Step 2: Convert to fraction form
    254.32/381.51 = 239.14/x
  3. Step 3: Cross multiply
    254.32x = 381.51 × 239.14
  4. Step 4: Simplify right side
    254.32x = 91,234.30
  5. Step 5: Solve for x
    x = 91,234.30/254.32
  6. Step 6: Final answer
    x = 358.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.