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Finding the Fourth Proportional to 219.13, 327.54 and 167.23

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Solution

The fourth proportional to 219.13, 327.54 and 167.23 is: 249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 327.54 = 167.23 : x
  2. Step 2: Convert to fraction form
    219.13/327.54 = 167.23/x
  3. Step 3: Cross multiply
    219.13x = 327.54 × 167.23
  4. Step 4: Simplify right side
    219.13x = 54,773.63
  5. Step 5: Solve for x
    x = 54,773.63/219.13
  6. Step 6: Final answer
    x = 249.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.