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Finding the Fourth Proportional to 243.36, 365.19 and 227.79

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Solution

The fourth proportional to 243.36, 365.19 and 227.79 is: 341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.36 : 365.19 = 227.79 : x
  2. Step 2: Convert to fraction form
    243.36/365.19 = 227.79/x
  3. Step 3: Cross multiply
    243.36x = 365.19 × 227.79
  4. Step 4: Simplify right side
    243.36x = 83,186.63
  5. Step 5: Solve for x
    x = 83,186.63/243.36
  6. Step 6: Final answer
    x = 341.83

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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.