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Finding the Fourth Proportional to 475.20, 712.78 and 133.20

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Solution

The fourth proportional to 475.20, 712.78 and 133.20 is: 199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 712.78 = 133.20 : x
  2. Step 2: Convert to fraction form
    475.20/712.78 = 133.20/x
  3. Step 3: Cross multiply
    475.20x = 712.78 × 133.20
  4. Step 4: Simplify right side
    475.20x = 94,942.30
  5. Step 5: Solve for x
    x = 94,942.30/475.20
  6. Step 6: Final answer
    x = 199.79

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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.