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Finding the Fourth Proportional to 170.14, 254.94 and 139.72

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Solution

The fourth proportional to 170.14, 254.94 and 139.72 is: 209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.14 : 254.94 = 139.72 : x
  2. Step 2: Convert to fraction form
    170.14/254.94 = 139.72/x
  3. Step 3: Cross multiply
    170.14x = 254.94 × 139.72
  4. Step 4: Simplify right side
    170.14x = 35,620.22
  5. Step 5: Solve for x
    x = 35,620.22/170.14
  6. Step 6: Final answer
    x = 209.36

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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.