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Finding the Fourth Proportional to 232.68, 320.82 and 177.24

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Solution

The fourth proportional to 232.68, 320.82 and 177.24 is: 244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.68 : 320.82 = 177.24 : x
  2. Step 2: Convert to fraction form
    232.68/320.82 = 177.24/x
  3. Step 3: Cross multiply
    232.68x = 320.82 × 177.24
  4. Step 4: Simplify right side
    232.68x = 56,862.14
  5. Step 5: Solve for x
    x = 56,862.14/232.68
  6. Step 6: Final answer
    x = 244.38

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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.