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Finding the Fourth Proportional to 234.88, 324.09 and 152.09

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Solution

The fourth proportional to 234.88, 324.09 and 152.09 is: 209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.88 : 324.09 = 152.09 : x
  2. Step 2: Convert to fraction form
    234.88/324.09 = 152.09/x
  3. Step 3: Cross multiply
    234.88x = 324.09 × 152.09
  4. Step 4: Simplify right side
    234.88x = 49,290.85
  5. Step 5: Solve for x
    x = 49,290.85/234.88
  6. Step 6: Final answer
    x = 209.86

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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.