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Finding the Fourth Proportional to 243.81, 336.44 and 144.20

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Solution

The fourth proportional to 243.81, 336.44 and 144.20 is: 198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.81 : 336.44 = 144.20 : x
  2. Step 2: Convert to fraction form
    243.81/336.44 = 144.20/x
  3. Step 3: Cross multiply
    243.81x = 336.44 × 144.20
  4. Step 4: Simplify right side
    243.81x = 48,514.65
  5. Step 5: Solve for x
    x = 48,514.65/243.81
  6. Step 6: Final answer
    x = 198.99

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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.