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Finding the Fourth Proportional to 218.15, 301.06 and 180.79

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Solution

The fourth proportional to 218.15, 301.06 and 180.79 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.15 : 301.06 = 180.79 : x
  2. Step 2: Convert to fraction form
    218.15/301.06 = 180.79/x
  3. Step 3: Cross multiply
    218.15x = 301.06 × 180.79
  4. Step 4: Simplify right side
    218.15x = 54,428.64
  5. Step 5: Solve for x
    x = 54,428.64/218.15
  6. Step 6: Final answer
    x = 249.50

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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.