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Finding the Fourth Proportional to 234.52, 351.88 and 180.52

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Solution

The fourth proportional to 234.52, 351.88 and 180.52 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.52 : 351.88 = 180.52 : x
  2. Step 2: Convert to fraction form
    234.52/351.88 = 180.52/x
  3. Step 3: Cross multiply
    234.52x = 351.88 × 180.52
  4. Step 4: Simplify right side
    234.52x = 63,521.38
  5. Step 5: Solve for x
    x = 63,521.38/234.52
  6. Step 6: Final answer
    x = 270.86

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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.