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Finding the Fourth Proportional to 218.16, 301.06 and 119.92

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Solution

The fourth proportional to 218.16, 301.06 and 119.92 is: 165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 301.06 = 119.92 : x
  2. Step 2: Convert to fraction form
    218.16/301.06 = 119.92/x
  3. Step 3: Cross multiply
    218.16x = 301.06 × 119.92
  4. Step 4: Simplify right side
    218.16x = 36,103.12
  5. Step 5: Solve for x
    x = 36,103.12/218.16
  6. Step 6: Final answer
    x = 165.49

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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.