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Finding the Fourth Proportional to 218.76, 327.64 and 167.36

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Solution

The fourth proportional to 218.76, 327.64 and 167.36 is: 250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.76 : 327.64 = 167.36 : x
  2. Step 2: Convert to fraction form
    218.76/327.64 = 167.36/x
  3. Step 3: Cross multiply
    218.76x = 327.64 × 167.36
  4. Step 4: Simplify right side
    218.76x = 54,833.83
  5. Step 5: Solve for x
    x = 54,833.83/218.76
  6. Step 6: Final answer
    x = 250.66

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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.