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Finding the Fourth Proportional to 218.70, 301.81 and 135.82

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Solution

The fourth proportional to 218.70, 301.81 and 135.82 is: 187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.70 : 301.81 = 135.82 : x
  2. Step 2: Convert to fraction form
    218.70/301.81 = 135.82/x
  3. Step 3: Cross multiply
    218.70x = 301.81 × 135.82
  4. Step 4: Simplify right side
    218.70x = 40,990.43
  5. Step 5: Solve for x
    x = 40,990.43/218.70
  6. Step 6: Final answer
    x = 187.43

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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.