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Finding the Fourth Proportional to 197.70, 296.53 and 82.11

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Solution

The fourth proportional to 197.70, 296.53 and 82.11 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.70 : 296.53 = 82.11 : x
  2. Step 2: Convert to fraction form
    197.70/296.53 = 82.11/x
  3. Step 3: Cross multiply
    197.70x = 296.53 × 82.11
  4. Step 4: Simplify right side
    197.70x = 24,348.08
  5. Step 5: Solve for x
    x = 24,348.08/197.70
  6. Step 6: Final answer
    x = 123.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.