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Finding the Fourth Proportional to 216.38, 298.59 and 123.12

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Solution

The fourth proportional to 216.38, 298.59 and 123.12 is: 169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.38 : 298.59 = 123.12 : x
  2. Step 2: Convert to fraction form
    216.38/298.59 = 123.12/x
  3. Step 3: Cross multiply
    216.38x = 298.59 × 123.12
  4. Step 4: Simplify right side
    216.38x = 36,761.94
  5. Step 5: Solve for x
    x = 36,761.94/216.38
  6. Step 6: Final answer
    x = 169.89

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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.