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Finding the Fourth Proportional to 218.68, 302.04 and 163.65

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Solution

The fourth proportional to 218.68, 302.04 and 163.65 is: 226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.68 : 302.04 = 163.65 : x
  2. Step 2: Convert to fraction form
    218.68/302.04 = 163.65/x
  3. Step 3: Cross multiply
    218.68x = 302.04 × 163.65
  4. Step 4: Simplify right side
    218.68x = 49,429.98
  5. Step 5: Solve for x
    x = 49,429.98/218.68
  6. Step 6: Final answer
    x = 226.04

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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.