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Finding the Fourth Proportional to 197.80, 296.58 and 82.24

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Solution

The fourth proportional to 197.80, 296.58 and 82.24 is: 123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.80 : 296.58 = 82.24 : x
  2. Step 2: Convert to fraction form
    197.80/296.58 = 82.24/x
  3. Step 3: Cross multiply
    197.80x = 296.58 × 82.24
  4. Step 4: Simplify right side
    197.80x = 24,390.74
  5. Step 5: Solve for x
    x = 24,390.74/197.80
  6. Step 6: Final answer
    x = 123.31

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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.