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Finding the Fourth Proportional to 218.71, 326.85 and 178.18

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Solution

The fourth proportional to 218.71, 326.85 and 178.18 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.71 : 326.85 = 178.18 : x
  2. Step 2: Convert to fraction form
    218.71/326.85 = 178.18/x
  3. Step 3: Cross multiply
    218.71x = 326.85 × 178.18
  4. Step 4: Simplify right side
    218.71x = 58,238.13
  5. Step 5: Solve for x
    x = 58,238.13/218.71
  6. Step 6: Final answer
    x = 266.28

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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.