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Finding the Fourth Proportional to 254.20, 381.42 and 146.02

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Solution

The fourth proportional to 254.20, 381.42 and 146.02 is: 219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.20 : 381.42 = 146.02 : x
  2. Step 2: Convert to fraction form
    254.20/381.42 = 146.02/x
  3. Step 3: Cross multiply
    254.20x = 381.42 × 146.02
  4. Step 4: Simplify right side
    254.20x = 55,694.95
  5. Step 5: Solve for x
    x = 55,694.95/254.20
  6. Step 6: Final answer
    x = 219.10

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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.