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Finding the Fourth Proportional to 218.87, 301.92 and 140.16

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Solution

The fourth proportional to 218.87, 301.92 and 140.16 is: 193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.87 : 301.92 = 140.16 : x
  2. Step 2: Convert to fraction form
    218.87/301.92 = 140.16/x
  3. Step 3: Cross multiply
    218.87x = 301.92 × 140.16
  4. Step 4: Simplify right side
    218.87x = 42,317.11
  5. Step 5: Solve for x
    x = 42,317.11/218.87
  6. Step 6: Final answer
    x = 193.35

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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.