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Finding the Fourth Proportional to 254.52, 381.84 and 106.24

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Solution

The fourth proportional to 254.52, 381.84 and 106.24 is: 159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.52 : 381.84 = 106.24 : x
  2. Step 2: Convert to fraction form
    254.52/381.84 = 106.24/x
  3. Step 3: Cross multiply
    254.52x = 381.84 × 106.24
  4. Step 4: Simplify right side
    254.52x = 40,566.68
  5. Step 5: Solve for x
    x = 40,566.68/254.52
  6. Step 6: Final answer
    x = 159.39

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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.