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Finding the Fourth Proportional to 248.24, 369.92 and 232.04

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Solution

The fourth proportional to 248.24, 369.92 and 232.04 is: 345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 369.92 = 232.04 : x
  2. Step 2: Convert to fraction form
    248.24/369.92 = 232.04/x
  3. Step 3: Cross multiply
    248.24x = 369.92 × 232.04
  4. Step 4: Simplify right side
    248.24x = 85,836.24
  5. Step 5: Solve for x
    x = 85,836.24/248.24
  6. Step 6: Final answer
    x = 345.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.