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Finding the Fourth Proportional to 254.30, 381.46 and 110.12

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Solution

The fourth proportional to 254.30, 381.46 and 110.12 is: 165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.30 : 381.46 = 110.12 : x
  2. Step 2: Convert to fraction form
    254.30/381.46 = 110.12/x
  3. Step 3: Cross multiply
    254.30x = 381.46 × 110.12
  4. Step 4: Simplify right side
    254.30x = 42,006.38
  5. Step 5: Solve for x
    x = 42,006.38/254.30
  6. Step 6: Final answer
    x = 165.18

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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.