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Finding the Fourth Proportional to 218.49, 301.77 and 182.13

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Solution

The fourth proportional to 218.49, 301.77 and 182.13 is: 251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.49 : 301.77 = 182.13 : x
  2. Step 2: Convert to fraction form
    218.49/301.77 = 182.13/x
  3. Step 3: Cross multiply
    218.49x = 301.77 × 182.13
  4. Step 4: Simplify right side
    218.49x = 54,961.37
  5. Step 5: Solve for x
    x = 54,961.37/218.49
  6. Step 6: Final answer
    x = 251.55

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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.