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Finding the Fourth Proportional to 240.97, 332.93 and 232.64

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Solution

The fourth proportional to 240.97, 332.93 and 232.64 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.97 : 332.93 = 232.64 : x
  2. Step 2: Convert to fraction form
    240.97/332.93 = 232.64/x
  3. Step 3: Cross multiply
    240.97x = 332.93 × 232.64
  4. Step 4: Simplify right side
    240.97x = 77,452.84
  5. Step 5: Solve for x
    x = 77,452.84/240.97
  6. Step 6: Final answer
    x = 321.42

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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.