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Finding the Fourth Proportional to 216.38, 298.62 and 123.14

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Solution

The fourth proportional to 216.38, 298.62 and 123.14 is: 169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.38 : 298.62 = 123.14 : x
  2. Step 2: Convert to fraction form
    216.38/298.62 = 123.14/x
  3. Step 3: Cross multiply
    216.38x = 298.62 × 123.14
  4. Step 4: Simplify right side
    216.38x = 36,770.57
  5. Step 5: Solve for x
    x = 36,770.57/216.38
  6. Step 6: Final answer
    x = 169.93

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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.