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Finding the Fourth Proportional to 402.20, 603.30 and 113.64

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Solution

The fourth proportional to 402.20, 603.30 and 113.64 is: 170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.20 : 603.30 = 113.64 : x
  2. Step 2: Convert to fraction form
    402.20/603.30 = 113.64/x
  3. Step 3: Cross multiply
    402.20x = 603.30 × 113.64
  4. Step 4: Simplify right side
    402.20x = 68,559.01
  5. Step 5: Solve for x
    x = 68,559.01/402.20
  6. Step 6: Final answer
    x = 170.46

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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.