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Finding the Fourth Proportional to 234.59, 323.50 and 151.70

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Solution

The fourth proportional to 234.59, 323.50 and 151.70 is: 209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.59 : 323.50 = 151.70 : x
  2. Step 2: Convert to fraction form
    234.59/323.50 = 151.70/x
  3. Step 3: Cross multiply
    234.59x = 323.50 × 151.70
  4. Step 4: Simplify right side
    234.59x = 49,074.95
  5. Step 5: Solve for x
    x = 49,074.95/234.59
  6. Step 6: Final answer
    x = 209.19

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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.