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Finding the Fourth Proportional to 253.97, 380.97 and 100.02

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Solution

The fourth proportional to 253.97, 380.97 and 100.02 is: 150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 380.97 = 100.02 : x
  2. Step 2: Convert to fraction form
    253.97/380.97 = 100.02/x
  3. Step 3: Cross multiply
    253.97x = 380.97 × 100.02
  4. Step 4: Simplify right side
    253.97x = 38,104.62
  5. Step 5: Solve for x
    x = 38,104.62/253.97
  6. Step 6: Final answer
    x = 150.04

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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.