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Finding the Fourth Proportional to 521.22, 781.77 and 196.50

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Solution

The fourth proportional to 521.22, 781.77 and 196.50 is: 294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.22 : 781.77 = 196.50 : x
  2. Step 2: Convert to fraction form
    521.22/781.77 = 196.50/x
  3. Step 3: Cross multiply
    521.22x = 781.77 × 196.50
  4. Step 4: Simplify right side
    521.22x = 153,617.81
  5. Step 5: Solve for x
    x = 153,617.81/521.22
  6. Step 6: Final answer
    x = 294.73

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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.