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Finding the Fourth Proportional to 216.73, 299.06 and 123.48

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Solution

The fourth proportional to 216.73, 299.06 and 123.48 is: 170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.73 : 299.06 = 123.48 : x
  2. Step 2: Convert to fraction form
    216.73/299.06 = 123.48/x
  3. Step 3: Cross multiply
    216.73x = 299.06 × 123.48
  4. Step 4: Simplify right side
    216.73x = 36,928.24
  5. Step 5: Solve for x
    x = 36,928.24/216.73
  6. Step 6: Final answer
    x = 170.39

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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.