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Finding the Fourth Proportional to 218.33, 326.67 and 130.16

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Solution

The fourth proportional to 218.33, 326.67 and 130.16 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.33 : 326.67 = 130.16 : x
  2. Step 2: Convert to fraction form
    218.33/326.67 = 130.16/x
  3. Step 3: Cross multiply
    218.33x = 326.67 × 130.16
  4. Step 4: Simplify right side
    218.33x = 42,518.96
  5. Step 5: Solve for x
    x = 42,518.96/218.33
  6. Step 6: Final answer
    x = 194.75

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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.