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Finding the Fourth Proportional to 254.49, 381.74 and 71.89

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Solution

The fourth proportional to 254.49, 381.74 and 71.89 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.49 : 381.74 = 71.89 : x
  2. Step 2: Convert to fraction form
    254.49/381.74 = 71.89/x
  3. Step 3: Cross multiply
    254.49x = 381.74 × 71.89
  4. Step 4: Simplify right side
    254.49x = 27,441.38
  5. Step 5: Solve for x
    x = 27,441.38/254.49
  6. Step 6: Final answer
    x = 107.83

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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.