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Finding the Fourth Proportional to 369.12, 553.68 and 197.92

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Solution

The fourth proportional to 369.12, 553.68 and 197.92 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.12 : 553.68 = 197.92 : x
  2. Step 2: Convert to fraction form
    369.12/553.68 = 197.92/x
  3. Step 3: Cross multiply
    369.12x = 553.68 × 197.92
  4. Step 4: Simplify right side
    369.12x = 109,584.35
  5. Step 5: Solve for x
    x = 109,584.35/369.12
  6. Step 6: Final answer
    x = 296.88

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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.