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Finding the Fourth Proportional to 488.54, 732.78 and 163.82

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Solution

The fourth proportional to 488.54, 732.78 and 163.82 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 732.78 = 163.82 : x
  2. Step 2: Convert to fraction form
    488.54/732.78 = 163.82/x
  3. Step 3: Cross multiply
    488.54x = 732.78 × 163.82
  4. Step 4: Simplify right side
    488.54x = 120,044.02
  5. Step 5: Solve for x
    x = 120,044.02/488.54
  6. Step 6: Final answer
    x = 245.72

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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.