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Finding the Fourth Proportional to 197.46, 296.06 and 124.43

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Solution

The fourth proportional to 197.46, 296.06 and 124.43 is: 186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.46 : 296.06 = 124.43 : x
  2. Step 2: Convert to fraction form
    197.46/296.06 = 124.43/x
  3. Step 3: Cross multiply
    197.46x = 296.06 × 124.43
  4. Step 4: Simplify right side
    197.46x = 36,836.64
  5. Step 5: Solve for x
    x = 36,836.64/197.46
  6. Step 6: Final answer
    x = 186.55

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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.