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Finding the Fourth Proportional to 234.80, 324.14 and 152.04

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Solution

The fourth proportional to 234.80, 324.14 and 152.04 is: 209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.80 : 324.14 = 152.04 : x
  2. Step 2: Convert to fraction form
    234.80/324.14 = 152.04/x
  3. Step 3: Cross multiply
    234.80x = 324.14 × 152.04
  4. Step 4: Simplify right side
    234.80x = 49,282.25
  5. Step 5: Solve for x
    x = 49,282.25/234.80
  6. Step 6: Final answer
    x = 209.89

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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.