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Finding the Fourth Proportional to 218.47, 326.93 and 189.92

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Solution

The fourth proportional to 218.47, 326.93 and 189.92 is: 284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.47 : 326.93 = 189.92 : x
  2. Step 2: Convert to fraction form
    218.47/326.93 = 189.92/x
  3. Step 3: Cross multiply
    218.47x = 326.93 × 189.92
  4. Step 4: Simplify right side
    218.47x = 62,087.96
  5. Step 5: Solve for x
    x = 62,087.96/218.47
  6. Step 6: Final answer
    x = 284.19

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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.