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Finding the Fourth Proportional to 266.24, 366.96 and 197.12

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Solution

The fourth proportional to 266.24, 366.96 and 197.12 is: 271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 366.96 = 197.12 : x
  2. Step 2: Convert to fraction form
    266.24/366.96 = 197.12/x
  3. Step 3: Cross multiply
    266.24x = 366.96 × 197.12
  4. Step 4: Simplify right side
    266.24x = 72,335.16
  5. Step 5: Solve for x
    x = 72,335.16/266.24
  6. Step 6: Final answer
    x = 271.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.