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Finding the Fourth Proportional to 266.84, 398.71 and 197.14

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Solution

The fourth proportional to 266.84, 398.71 and 197.14 is: 294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.84 : 398.71 = 197.14 : x
  2. Step 2: Convert to fraction form
    266.84/398.71 = 197.14/x
  3. Step 3: Cross multiply
    266.84x = 398.71 × 197.14
  4. Step 4: Simplify right side
    266.84x = 78,601.69
  5. Step 5: Solve for x
    x = 78,601.69/266.84
  6. Step 6: Final answer
    x = 294.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.