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Finding the Fourth Proportional to 218.24, 301.17 and 120.00

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Solution

The fourth proportional to 218.24, 301.17 and 120.00 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 301.17 = 120.00 : x
  2. Step 2: Convert to fraction form
    218.24/301.17 = 120.00/x
  3. Step 3: Cross multiply
    218.24x = 301.17 × 120.00
  4. Step 4: Simplify right side
    218.24x = 36,139.27
  5. Step 5: Solve for x
    x = 36,139.27/218.24
  6. Step 6: Final answer
    x = 165.59

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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.