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Finding the Fourth Proportional to 262.92, 392.22 and 243.57

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Solution

The fourth proportional to 262.92, 392.22 and 243.57 is: 363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.92 : 392.22 = 243.57 : x
  2. Step 2: Convert to fraction form
    262.92/392.22 = 243.57/x
  3. Step 3: Cross multiply
    262.92x = 392.22 × 243.57
  4. Step 4: Simplify right side
    262.92x = 95,533.03
  5. Step 5: Solve for x
    x = 95,533.03/262.92
  6. Step 6: Final answer
    x = 363.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.