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Finding the Fourth Proportional to 254.34, 381.24 and 138.65

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Solution

The fourth proportional to 254.34, 381.24 and 138.65 is: 207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 381.24 = 138.65 : x
  2. Step 2: Convert to fraction form
    254.34/381.24 = 138.65/x
  3. Step 3: Cross multiply
    254.34x = 381.24 × 138.65
  4. Step 4: Simplify right side
    254.34x = 52,857.02
  5. Step 5: Solve for x
    x = 52,857.02/254.34
  6. Step 6: Final answer
    x = 207.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.