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Finding the Fourth Proportional to 243.92, 336.67 and 144.36

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Solution

The fourth proportional to 243.92, 336.67 and 144.36 is: 199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.92 : 336.67 = 144.36 : x
  2. Step 2: Convert to fraction form
    243.92/336.67 = 144.36/x
  3. Step 3: Cross multiply
    243.92x = 336.67 × 144.36
  4. Step 4: Simplify right side
    243.92x = 48,601.32
  5. Step 5: Solve for x
    x = 48,601.32/243.92
  6. Step 6: Final answer
    x = 199.25

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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.