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Finding the Fourth Proportional to 218.01, 326.94 and 183.78

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Solution

The fourth proportional to 218.01, 326.94 and 183.78 is: 275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.01 : 326.94 = 183.78 : x
  2. Step 2: Convert to fraction form
    218.01/326.94 = 183.78/x
  3. Step 3: Cross multiply
    218.01x = 326.94 × 183.78
  4. Step 4: Simplify right side
    218.01x = 60,085.03
  5. Step 5: Solve for x
    x = 60,085.03/218.01
  6. Step 6: Final answer
    x = 275.61

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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.