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Finding the Fourth Proportional to 234.59, 351.77 and 97.65

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Solution

The fourth proportional to 234.59, 351.77 and 97.65 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.59 : 351.77 = 97.65 : x
  2. Step 2: Convert to fraction form
    234.59/351.77 = 97.65/x
  3. Step 3: Cross multiply
    234.59x = 351.77 × 97.65
  4. Step 4: Simplify right side
    234.59x = 34,349.85
  5. Step 5: Solve for x
    x = 34,349.85/234.59
  6. Step 6: Final answer
    x = 146.43

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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.