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Finding the Fourth Proportional to 218.39, 301.14 and 185.13

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Solution

The fourth proportional to 218.39, 301.14 and 185.13 is: 255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.39 : 301.14 = 185.13 : x
  2. Step 2: Convert to fraction form
    218.39/301.14 = 185.13/x
  3. Step 3: Cross multiply
    218.39x = 301.14 × 185.13
  4. Step 4: Simplify right side
    218.39x = 55,750.05
  5. Step 5: Solve for x
    x = 55,750.05/218.39
  6. Step 6: Final answer
    x = 255.28

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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.