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Finding the Fourth Proportional to 147.98, 204.17 and 82.47

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Solution

The fourth proportional to 147.98, 204.17 and 82.47 is: 113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 204.17 = 82.47 : x
  2. Step 2: Convert to fraction form
    147.98/204.17 = 82.47/x
  3. Step 3: Cross multiply
    147.98x = 204.17 × 82.47
  4. Step 4: Simplify right side
    147.98x = 16,838.11
  5. Step 5: Solve for x
    x = 16,838.11/147.98
  6. Step 6: Final answer
    x = 113.79

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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.