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Finding the Fourth Proportional to 254.38, 381.38 and 240.08

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Solution

The fourth proportional to 254.38, 381.38 and 240.08 is: 359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.38 : 381.38 = 240.08 : x
  2. Step 2: Convert to fraction form
    254.38/381.38 = 240.08/x
  3. Step 3: Cross multiply
    254.38x = 381.38 × 240.08
  4. Step 4: Simplify right side
    254.38x = 91,561.71
  5. Step 5: Solve for x
    x = 91,561.71/254.38
  6. Step 6: Final answer
    x = 359.94

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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.