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Finding the Fourth Proportional to 218.50, 301.70 and 169.29

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Solution

The fourth proportional to 218.50, 301.70 and 169.29 is: 233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.50 : 301.70 = 169.29 : x
  2. Step 2: Convert to fraction form
    218.50/301.70 = 169.29/x
  3. Step 3: Cross multiply
    218.50x = 301.70 × 169.29
  4. Step 4: Simplify right side
    218.50x = 51,074.74
  5. Step 5: Solve for x
    x = 51,074.74/218.50
  6. Step 6: Final answer
    x = 233.75

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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.