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Finding the Fourth Proportional to 321.85, 483.03 and 167.82

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Solution

The fourth proportional to 321.85, 483.03 and 167.82 is: 251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.85 : 483.03 = 167.82 : x
  2. Step 2: Convert to fraction form
    321.85/483.03 = 167.82/x
  3. Step 3: Cross multiply
    321.85x = 483.03 × 167.82
  4. Step 4: Simplify right side
    321.85x = 81,058.84
  5. Step 5: Solve for x
    x = 81,058.84/321.85
  6. Step 6: Final answer
    x = 251.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.