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Finding the Fourth Proportional to 240.48, 331.82 and 166.78

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Solution

The fourth proportional to 240.48, 331.82 and 166.78 is: 230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.48 : 331.82 = 166.78 : x
  2. Step 2: Convert to fraction form
    240.48/331.82 = 166.78/x
  3. Step 3: Cross multiply
    240.48x = 331.82 × 166.78
  4. Step 4: Simplify right side
    240.48x = 55,340.94
  5. Step 5: Solve for x
    x = 55,340.94/240.48
  6. Step 6: Final answer
    x = 230.13

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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.