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Finding the Fourth Proportional to 254.68, 382.14 and 158.20

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Solution

The fourth proportional to 254.68, 382.14 and 158.20 is: 237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.68 : 382.14 = 158.20 : x
  2. Step 2: Convert to fraction form
    254.68/382.14 = 158.20/x
  3. Step 3: Cross multiply
    254.68x = 382.14 × 158.20
  4. Step 4: Simplify right side
    254.68x = 60,454.55
  5. Step 5: Solve for x
    x = 60,454.55/254.68
  6. Step 6: Final answer
    x = 237.37

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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.