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Finding the Fourth Proportional to 148.19, 204.50 and 82.70

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Solution

The fourth proportional to 148.19, 204.50 and 82.70 is: 114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.19 : 204.50 = 82.70 : x
  2. Step 2: Convert to fraction form
    148.19/204.50 = 82.70/x
  3. Step 3: Cross multiply
    148.19x = 204.50 × 82.70
  4. Step 4: Simplify right side
    148.19x = 16,912.15
  5. Step 5: Solve for x
    x = 16,912.15/148.19
  6. Step 6: Final answer
    x = 114.12

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Why These Related Problems?

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