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Finding the Fourth Proportional to 254.16, 381.24 and 71.61

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Solution

The fourth proportional to 254.16, 381.24 and 71.61 is: 107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 381.24 = 71.61 : x
  2. Step 2: Convert to fraction form
    254.16/381.24 = 71.61/x
  3. Step 3: Cross multiply
    254.16x = 381.24 × 71.61
  4. Step 4: Simplify right side
    254.16x = 27,300.60
  5. Step 5: Solve for x
    x = 27,300.60/254.16
  6. Step 6: Final answer
    x = 107.42

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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.