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Finding the Fourth Proportional to 240.22, 359.52 and 232.66

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Solution

The fourth proportional to 240.22, 359.52 and 232.66 is: 348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.22 : 359.52 = 232.66 : x
  2. Step 2: Convert to fraction form
    240.22/359.52 = 232.66/x
  3. Step 3: Cross multiply
    240.22x = 359.52 × 232.66
  4. Step 4: Simplify right side
    240.22x = 83,645.92
  5. Step 5: Solve for x
    x = 83,645.92/240.22
  6. Step 6: Final answer
    x = 348.21

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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.