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Finding the Fourth Proportional to 218.61, 301.71 and 163.50

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Solution

The fourth proportional to 218.61, 301.71 and 163.50 is: 225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.61 : 301.71 = 163.50 : x
  2. Step 2: Convert to fraction form
    218.61/301.71 = 163.50/x
  3. Step 3: Cross multiply
    218.61x = 301.71 × 163.50
  4. Step 4: Simplify right side
    218.61x = 49,329.59
  5. Step 5: Solve for x
    x = 49,329.59/218.61
  6. Step 6: Final answer
    x = 225.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.