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Finding the Fourth Proportional to 219.77, 329.21 and 123.38

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Solution

The fourth proportional to 219.77, 329.21 and 123.38 is: 184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.77 : 329.21 = 123.38 : x
  2. Step 2: Convert to fraction form
    219.77/329.21 = 123.38/x
  3. Step 3: Cross multiply
    219.77x = 329.21 × 123.38
  4. Step 4: Simplify right side
    219.77x = 40,617.93
  5. Step 5: Solve for x
    x = 40,617.93/219.77
  6. Step 6: Final answer
    x = 184.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.