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Finding the Fourth Proportional to 321.08, 482.08 and 167.12

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Solution

The fourth proportional to 321.08, 482.08 and 167.12 is: 250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.08 : 482.08 = 167.12 : x
  2. Step 2: Convert to fraction form
    321.08/482.08 = 167.12/x
  3. Step 3: Cross multiply
    321.08x = 482.08 × 167.12
  4. Step 4: Simplify right side
    321.08x = 80,565.21
  5. Step 5: Solve for x
    x = 80,565.21/321.08
  6. Step 6: Final answer
    x = 250.92

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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.