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Finding the Fourth Proportional to 170.20, 254.14 and 139.83

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Solution

The fourth proportional to 170.20, 254.14 and 139.83 is: 208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.20 : 254.14 = 139.83 : x
  2. Step 2: Convert to fraction form
    170.20/254.14 = 139.83/x
  3. Step 3: Cross multiply
    170.20x = 254.14 × 139.83
  4. Step 4: Simplify right side
    170.20x = 35,536.40
  5. Step 5: Solve for x
    x = 35,536.40/170.20
  6. Step 6: Final answer
    x = 208.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.