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Finding the Fourth Proportional to 254.60, 382.12 and 139.14

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Solution

The fourth proportional to 254.60, 382.12 and 139.14 is: 208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.60 : 382.12 = 139.14 : x
  2. Step 2: Convert to fraction form
    254.60/382.12 = 139.14/x
  3. Step 3: Cross multiply
    254.60x = 382.12 × 139.14
  4. Step 4: Simplify right side
    254.60x = 53,168.18
  5. Step 5: Solve for x
    x = 53,168.18/254.60
  6. Step 6: Final answer
    x = 208.83

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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.