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Finding the Fourth Proportional to 218.07, 300.95 and 119.83

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Solution

The fourth proportional to 218.07, 300.95 and 119.83 is: 165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 300.95 = 119.83 : x
  2. Step 2: Convert to fraction form
    218.07/300.95 = 119.83/x
  3. Step 3: Cross multiply
    218.07x = 300.95 × 119.83
  4. Step 4: Simplify right side
    218.07x = 36,062.84
  5. Step 5: Solve for x
    x = 36,062.84/218.07
  6. Step 6: Final answer
    x = 165.37

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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.