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Finding the Fourth Proportional to 322.14, 482.58 and 167.83

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Solution

The fourth proportional to 322.14, 482.58 and 167.83 is: 251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 482.58 = 167.83 : x
  2. Step 2: Convert to fraction form
    322.14/482.58 = 167.83/x
  3. Step 3: Cross multiply
    322.14x = 482.58 × 167.83
  4. Step 4: Simplify right side
    322.14x = 80,991.40
  5. Step 5: Solve for x
    x = 80,991.40/322.14
  6. Step 6: Final answer
    x = 251.42

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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.