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Finding the Fourth Proportional to 197.64, 296.28 and 82.08

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Solution

The fourth proportional to 197.64, 296.28 and 82.08 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.64 : 296.28 = 82.08 : x
  2. Step 2: Convert to fraction form
    197.64/296.28 = 82.08/x
  3. Step 3: Cross multiply
    197.64x = 296.28 × 82.08
  4. Step 4: Simplify right side
    197.64x = 24,318.66
  5. Step 5: Solve for x
    x = 24,318.66/197.64
  6. Step 6: Final answer
    x = 123.05

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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.