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Finding the Fourth Proportional to 521.11, 781.82 and 196.53

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Solution

The fourth proportional to 521.11, 781.82 and 196.53 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.11 : 781.82 = 196.53 : x
  2. Step 2: Convert to fraction form
    521.11/781.82 = 196.53/x
  3. Step 3: Cross multiply
    521.11x = 781.82 × 196.53
  4. Step 4: Simplify right side
    521.11x = 153,651.08
  5. Step 5: Solve for x
    x = 153,651.08/521.11
  6. Step 6: Final answer
    x = 294.85

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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.