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Finding the Fourth Proportional to 521.20, 781.53 and 192.05

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Solution

The fourth proportional to 521.20, 781.53 and 192.05 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.20 : 781.53 = 192.05 : x
  2. Step 2: Convert to fraction form
    521.20/781.53 = 192.05/x
  3. Step 3: Cross multiply
    521.20x = 781.53 × 192.05
  4. Step 4: Simplify right side
    521.20x = 150,091.88
  5. Step 5: Solve for x
    x = 150,091.88/521.20
  6. Step 6: Final answer
    x = 287.97

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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.