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Finding the Fourth Proportional to 254.59, 381.71 and 138.76

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Solution

The fourth proportional to 254.59, 381.71 and 138.76 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.59 : 381.71 = 138.76 : x
  2. Step 2: Convert to fraction form
    254.59/381.71 = 138.76/x
  3. Step 3: Cross multiply
    254.59x = 381.71 × 138.76
  4. Step 4: Simplify right side
    254.59x = 52,965.47
  5. Step 5: Solve for x
    x = 52,965.47/254.59
  6. Step 6: Final answer
    x = 208.04

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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.