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Finding the Fourth Proportional to 218.14, 301.13 and 135.22

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Solution

The fourth proportional to 218.14, 301.13 and 135.22 is: 186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.14 : 301.13 = 135.22 : x
  2. Step 2: Convert to fraction form
    218.14/301.13 = 135.22/x
  3. Step 3: Cross multiply
    218.14x = 301.13 × 135.22
  4. Step 4: Simplify right side
    218.14x = 40,718.80
  5. Step 5: Solve for x
    x = 40,718.80/218.14
  6. Step 6: Final answer
    x = 186.66

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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.