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Finding the Fourth Proportional to 151.68, 209.43 and 139.17

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Solution

The fourth proportional to 151.68, 209.43 and 139.17 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 209.43 = 139.17 : x
  2. Step 2: Convert to fraction form
    151.68/209.43 = 139.17/x
  3. Step 3: Cross multiply
    151.68x = 209.43 × 139.17
  4. Step 4: Simplify right side
    151.68x = 29,146.37
  5. Step 5: Solve for x
    x = 29,146.37/151.68
  6. Step 6: Final answer
    x = 192.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.