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Finding the Fourth Proportional to 217.13, 299.61 and 123.87

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Solution

The fourth proportional to 217.13, 299.61 and 123.87 is: 170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 299.61 = 123.87 : x
  2. Step 2: Convert to fraction form
    217.13/299.61 = 123.87/x
  3. Step 3: Cross multiply
    217.13x = 299.61 × 123.87
  4. Step 4: Simplify right side
    217.13x = 37,112.69
  5. Step 5: Solve for x
    x = 37,112.69/217.13
  6. Step 6: Final answer
    x = 170.93

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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.