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Finding the Fourth Proportional to 218.43, 327.45 and 183.66

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Solution

The fourth proportional to 218.43, 327.45 and 183.66 is: 275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.43 : 327.45 = 183.66 : x
  2. Step 2: Convert to fraction form
    218.43/327.45 = 183.66/x
  3. Step 3: Cross multiply
    218.43x = 327.45 × 183.66
  4. Step 4: Simplify right side
    218.43x = 60,139.47
  5. Step 5: Solve for x
    x = 60,139.47/218.43
  6. Step 6: Final answer
    x = 275.33

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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.