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Finding the Fourth Proportional to 172.74, 258.99 and 140.82

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Solution

The fourth proportional to 172.74, 258.99 and 140.82 is: 211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.74 : 258.99 = 140.82 : x
  2. Step 2: Convert to fraction form
    172.74/258.99 = 140.82/x
  3. Step 3: Cross multiply
    172.74x = 258.99 × 140.82
  4. Step 4: Simplify right side
    172.74x = 36,470.97
  5. Step 5: Solve for x
    x = 36,470.97/172.74
  6. Step 6: Final answer
    x = 211.13

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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.