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Finding the Fourth Proportional to 322.44, 483.50 and 167.99

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Solution

The fourth proportional to 322.44, 483.50 and 167.99 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.44 : 483.50 = 167.99 : x
  2. Step 2: Convert to fraction form
    322.44/483.50 = 167.99/x
  3. Step 3: Cross multiply
    322.44x = 483.50 × 167.99
  4. Step 4: Simplify right side
    322.44x = 81,219.91
  5. Step 5: Solve for x
    x = 81,219.91/322.44
  6. Step 6: Final answer
    x = 251.89

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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.