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Finding the Fourth Proportional to 263.40, 365.24 and 247.20

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Solution

The fourth proportional to 263.40, 365.24 and 247.20 is: 342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.40 : 365.24 = 247.20 : x
  2. Step 2: Convert to fraction form
    263.40/365.24 = 247.20/x
  3. Step 3: Cross multiply
    263.40x = 365.24 × 247.20
  4. Step 4: Simplify right side
    263.40x = 90,286.09
  5. Step 5: Solve for x
    x = 90,286.09/263.40
  6. Step 6: Final answer
    x = 342.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.