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Finding the Fourth Proportional to 218.34, 326.64 and 146.22

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Solution

The fourth proportional to 218.34, 326.64 and 146.22 is: 218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 326.64 = 146.22 : x
  2. Step 2: Convert to fraction form
    218.34/326.64 = 146.22/x
  3. Step 3: Cross multiply
    218.34x = 326.64 × 146.22
  4. Step 4: Simplify right side
    218.34x = 47,761.30
  5. Step 5: Solve for x
    x = 47,761.30/218.34
  6. Step 6: Final answer
    x = 218.75

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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.