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Finding the Fourth Proportional to 219.61, 329.13 and 123.31

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Solution

The fourth proportional to 219.61, 329.13 and 123.31 is: 184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.61 : 329.13 = 123.31 : x
  2. Step 2: Convert to fraction form
    219.61/329.13 = 123.31/x
  3. Step 3: Cross multiply
    219.61x = 329.13 × 123.31
  4. Step 4: Simplify right side
    219.61x = 40,585.02
  5. Step 5: Solve for x
    x = 40,585.02/219.61
  6. Step 6: Final answer
    x = 184.80

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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.