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Finding the Fourth Proportional to 254.42, 381.70 and 100.36

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Solution

The fourth proportional to 254.42, 381.70 and 100.36 is: 150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.42 : 381.70 = 100.36 : x
  2. Step 2: Convert to fraction form
    254.42/381.70 = 100.36/x
  3. Step 3: Cross multiply
    254.42x = 381.70 × 100.36
  4. Step 4: Simplify right side
    254.42x = 38,305.30
  5. Step 5: Solve for x
    x = 38,305.30/254.42
  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.