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Finding the Fourth Proportional to 216.85, 299.25 and 123.59

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Solution

The fourth proportional to 216.85, 299.25 and 123.59 is: 170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.85 : 299.25 = 123.59 : x
  2. Step 2: Convert to fraction form
    216.85/299.25 = 123.59/x
  3. Step 3: Cross multiply
    216.85x = 299.25 × 123.59
  4. Step 4: Simplify right side
    216.85x = 36,982.81
  5. Step 5: Solve for x
    x = 36,982.81/216.85
  6. Step 6: Final answer
    x = 170.55

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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.