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Finding the Fourth Proportional to 317.20, 475.76 and 201.30

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Solution

The fourth proportional to 317.20, 475.76 and 201.30 is: 301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.20 : 475.76 = 201.30 : x
  2. Step 2: Convert to fraction form
    317.20/475.76 = 201.30/x
  3. Step 3: Cross multiply
    317.20x = 475.76 × 201.30
  4. Step 4: Simplify right side
    317.20x = 95,770.49
  5. Step 5: Solve for x
    x = 95,770.49/317.20
  6. Step 6: Final answer
    x = 301.92

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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.