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Finding the Fourth Proportional to 498.30, 747.36 and 169.20

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Solution

The fourth proportional to 498.30, 747.36 and 169.20 is: 253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.30 : 747.36 = 169.20 : x
  2. Step 2: Convert to fraction form
    498.30/747.36 = 169.20/x
  3. Step 3: Cross multiply
    498.30x = 747.36 × 169.20
  4. Step 4: Simplify right side
    498.30x = 126,453.31
  5. Step 5: Solve for x
    x = 126,453.31/498.30
  6. Step 6: Final answer
    x = 253.77

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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.