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Finding the Fourth Proportional to 218.93, 302.65 and 166.73

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Solution

The fourth proportional to 218.93, 302.65 and 166.73 is: 230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.93 : 302.65 = 166.73 : x
  2. Step 2: Convert to fraction form
    218.93/302.65 = 166.73/x
  3. Step 3: Cross multiply
    218.93x = 302.65 × 166.73
  4. Step 4: Simplify right side
    218.93x = 50,458.90
  5. Step 5: Solve for x
    x = 50,458.90/218.93
  6. Step 6: Final answer
    x = 230.48

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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.