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Finding the Fourth Proportional to 218.71, 301.84 and 166.42

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Solution

The fourth proportional to 218.71, 301.84 and 166.42 is: 229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.71 : 301.84 = 166.42 : x
  2. Step 2: Convert to fraction form
    218.71/301.84 = 166.42/x
  3. Step 3: Cross multiply
    218.71x = 301.84 × 166.42
  4. Step 4: Simplify right side
    218.71x = 50,232.21
  5. Step 5: Solve for x
    x = 50,232.21/218.71
  6. Step 6: Final answer
    x = 229.67

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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.