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Finding the Fourth Proportional to 254.43, 381.63 and 100.38

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Solution

The fourth proportional to 254.43, 381.63 and 100.38 is: 150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.43 : 381.63 = 100.38 : x
  2. Step 2: Convert to fraction form
    254.43/381.63 = 100.38/x
  3. Step 3: Cross multiply
    254.43x = 381.63 × 100.38
  4. Step 4: Simplify right side
    254.43x = 38,308.02
  5. Step 5: Solve for x
    x = 38,308.02/254.43
  6. Step 6: Final answer
    x = 150.56

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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.