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Finding the Fourth Proportional to 488.48, 732.80 and 163.84

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Solution

The fourth proportional to 488.48, 732.80 and 163.84 is: 245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.48 : 732.80 = 163.84 : x
  2. Step 2: Convert to fraction form
    488.48/732.80 = 163.84/x
  3. Step 3: Cross multiply
    488.48x = 732.80 × 163.84
  4. Step 4: Simplify right side
    488.48x = 120,061.95
  5. Step 5: Solve for x
    x = 120,061.95/488.48
  6. Step 6: Final answer
    x = 245.79

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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.