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Finding the Fourth Proportional to 218.71, 301.84 and 135.82

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Solution

The fourth proportional to 218.71, 301.84 and 135.82 is: 187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.71 : 301.84 = 135.82 : x
  2. Step 2: Convert to fraction form
    218.71/301.84 = 135.82/x
  3. Step 3: Cross multiply
    218.71x = 301.84 × 135.82
  4. Step 4: Simplify right side
    218.71x = 40,995.23
  5. Step 5: Solve for x
    x = 40,995.23/218.71
  6. Step 6: Final answer
    x = 187.44

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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.