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Finding the Fourth Proportional to 252.72, 380.90 and 239.28

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Solution

The fourth proportional to 252.72, 380.90 and 239.28 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.72 : 380.90 = 239.28 : x
  2. Step 2: Convert to fraction form
    252.72/380.90 = 239.28/x
  3. Step 3: Cross multiply
    252.72x = 380.90 × 239.28
  4. Step 4: Simplify right side
    252.72x = 91,141.75
  5. Step 5: Solve for x
    x = 91,141.75/252.72
  6. Step 6: Final answer
    x = 360.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.