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Finding the Fourth Proportional to 216.83, 299.23 and 123.62

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Solution

The fourth proportional to 216.83, 299.23 and 123.62 is: 170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 299.23 = 123.62 : x
  2. Step 2: Convert to fraction form
    216.83/299.23 = 123.62/x
  3. Step 3: Cross multiply
    216.83x = 299.23 × 123.62
  4. Step 4: Simplify right side
    216.83x = 36,989.01
  5. Step 5: Solve for x
    x = 36,989.01/216.83
  6. Step 6: Final answer
    x = 170.59

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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.