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Finding the Fourth Proportional to 243.91, 336.48 and 144.28

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Solution

The fourth proportional to 243.91, 336.48 and 144.28 is: 199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.91 : 336.48 = 144.28 : x
  2. Step 2: Convert to fraction form
    243.91/336.48 = 144.28/x
  3. Step 3: Cross multiply
    243.91x = 336.48 × 144.28
  4. Step 4: Simplify right side
    243.91x = 48,547.33
  5. Step 5: Solve for x
    x = 48,547.33/243.91
  6. Step 6: Final answer
    x = 199.04

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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.