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Finding the Fourth Proportional to 243.28, 365.20 and 106.42

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Solution

The fourth proportional to 243.28, 365.20 and 106.42 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.28 : 365.20 = 106.42 : x
  2. Step 2: Convert to fraction form
    243.28/365.20 = 106.42/x
  3. Step 3: Cross multiply
    243.28x = 365.20 × 106.42
  4. Step 4: Simplify right side
    243.28x = 38,864.58
  5. Step 5: Solve for x
    x = 38,864.58/243.28
  6. Step 6: Final answer
    x = 159.75

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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.