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Finding the Fourth Proportional to 243.82, 365.20 and 175.48

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Solution

The fourth proportional to 243.82, 365.20 and 175.48 is: 262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 365.20 = 175.48 : x
  2. Step 2: Convert to fraction form
    243.82/365.20 = 175.48/x
  3. Step 3: Cross multiply
    243.82x = 365.20 × 175.48
  4. Step 4: Simplify right side
    243.82x = 64,082.59
  5. Step 5: Solve for x
    x = 64,082.59/243.82
  6. Step 6: Final answer
    x = 262.83

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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.