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Finding the Fourth Proportional to 218.61, 326.93 and 194.38

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Solution

The fourth proportional to 218.61, 326.93 and 194.38 is: 290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.61 : 326.93 = 194.38 : x
  2. Step 2: Convert to fraction form
    218.61/326.93 = 194.38/x
  3. Step 3: Cross multiply
    218.61x = 326.93 × 194.38
  4. Step 4: Simplify right side
    218.61x = 63,548.65
  5. Step 5: Solve for x
    x = 63,548.65/218.61
  6. Step 6: Final answer
    x = 290.70

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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.