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Finding the Fourth Proportional to 254.71, 381.84 and 146.56

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Solution

The fourth proportional to 254.71, 381.84 and 146.56 is: 219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.71 : 381.84 = 146.56 : x
  2. Step 2: Convert to fraction form
    254.71/381.84 = 146.56/x
  3. Step 3: Cross multiply
    254.71x = 381.84 × 146.56
  4. Step 4: Simplify right side
    254.71x = 55,962.47
  5. Step 5: Solve for x
    x = 55,962.47/254.71
  6. Step 6: Final answer
    x = 219.71

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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.