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Finding the Fourth Proportional to 218.31, 301.17 and 135.38

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Solution

The fourth proportional to 218.31, 301.17 and 135.38 is: 186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.31 : 301.17 = 135.38 : x
  2. Step 2: Convert to fraction form
    218.31/301.17 = 135.38/x
  3. Step 3: Cross multiply
    218.31x = 301.17 × 135.38
  4. Step 4: Simplify right side
    218.31x = 40,771.72
  5. Step 5: Solve for x
    x = 40,771.72/218.31
  6. Step 6: Final answer
    x = 186.76

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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.