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Finding the Fourth Proportional to 254.04, 380.42 and 232.92

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Solution

The fourth proportional to 254.04, 380.42 and 232.92 is: 348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.04 : 380.42 = 232.92 : x
  2. Step 2: Convert to fraction form
    254.04/380.42 = 232.92/x
  3. Step 3: Cross multiply
    254.04x = 380.42 × 232.92
  4. Step 4: Simplify right side
    254.04x = 88,607.43
  5. Step 5: Solve for x
    x = 88,607.43/254.04
  6. Step 6: Final answer
    x = 348.79

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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.