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Finding the Fourth Proportional to 254.38, 381.33 and 92.02

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Solution

The fourth proportional to 254.38, 381.33 and 92.02 is: 137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.38 : 381.33 = 92.02 : x
  2. Step 2: Convert to fraction form
    254.38/381.33 = 92.02/x
  3. Step 3: Cross multiply
    254.38x = 381.33 × 92.02
  4. Step 4: Simplify right side
    254.38x = 35,090.81
  5. Step 5: Solve for x
    x = 35,090.81/254.38
  6. Step 6: Final answer
    x = 137.95

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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.