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Finding the Fourth Proportional to 243.56, 335.96 and 145.28

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Solution

The fourth proportional to 243.56, 335.96 and 145.28 is: 200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.56 : 335.96 = 145.28 : x
  2. Step 2: Convert to fraction form
    243.56/335.96 = 145.28/x
  3. Step 3: Cross multiply
    243.56x = 335.96 × 145.28
  4. Step 4: Simplify right side
    243.56x = 48,805.86
  5. Step 5: Solve for x
    x = 48,805.86/243.56
  6. Step 6: Final answer
    x = 200.39

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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.