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Finding the Fourth Proportional to 254.19, 381.10 and 100.04

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Solution

The fourth proportional to 254.19, 381.10 and 100.04 is: 149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.19 : 381.10 = 100.04 : x
  2. Step 2: Convert to fraction form
    254.19/381.10 = 100.04/x
  3. Step 3: Cross multiply
    254.19x = 381.10 × 100.04
  4. Step 4: Simplify right side
    254.19x = 38,124.52
  5. Step 5: Solve for x
    x = 38,124.52/254.19
  6. Step 6: Final answer
    x = 149.98

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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.