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Finding the Fourth Proportional to 520.80, 781.20 and 136.05

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Solution

The fourth proportional to 520.80, 781.20 and 136.05 is: 204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.80 : 781.20 = 136.05 : x
  2. Step 2: Convert to fraction form
    520.80/781.20 = 136.05/x
  3. Step 3: Cross multiply
    520.80x = 781.20 × 136.05
  4. Step 4: Simplify right side
    520.80x = 106,282.26
  5. Step 5: Solve for x
    x = 106,282.26/520.80
  6. Step 6: Final answer
    x = 204.08

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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.