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Finding the Fourth Proportional to 234.74, 351.56 and 180.20

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Solution

The fourth proportional to 234.74, 351.56 and 180.20 is: 269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.74 : 351.56 = 180.20 : x
  2. Step 2: Convert to fraction form
    234.74/351.56 = 180.20/x
  3. Step 3: Cross multiply
    234.74x = 351.56 × 180.20
  4. Step 4: Simplify right side
    234.74x = 63,351.11
  5. Step 5: Solve for x
    x = 63,351.11/234.74
  6. Step 6: Final answer
    x = 269.88

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Why These Related Problems?

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