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Finding the Fourth Proportional to 218.54, 301.41 and 193.67

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Solution

The fourth proportional to 218.54, 301.41 and 193.67 is: 267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.54 : 301.41 = 193.67 : x
  2. Step 2: Convert to fraction form
    218.54/301.41 = 193.67/x
  3. Step 3: Cross multiply
    218.54x = 301.41 × 193.67
  4. Step 4: Simplify right side
    218.54x = 58,372.57
  5. Step 5: Solve for x
    x = 58,372.57/218.54
  6. Step 6: Final answer
    x = 267.11

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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.