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Finding the Fourth Proportional to 234.80, 324.00 and 129.88

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Solution

The fourth proportional to 234.80, 324.00 and 129.88 is: 179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.80 : 324.00 = 129.88 : x
  2. Step 2: Convert to fraction form
    234.80/324.00 = 129.88/x
  3. Step 3: Cross multiply
    234.80x = 324.00 × 129.88
  4. Step 4: Simplify right side
    234.80x = 42,081.16
  5. Step 5: Solve for x
    x = 42,081.16/234.80
  6. Step 6: Final answer
    x = 179.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.