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Finding the Fourth Proportional to 262.52, 363.20 and 257.92

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Solution

The fourth proportional to 262.52, 363.20 and 257.92 is: 356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.52 : 363.20 = 257.92 : x
  2. Step 2: Convert to fraction form
    262.52/363.20 = 257.92/x
  3. Step 3: Cross multiply
    262.52x = 363.20 × 257.92
  4. Step 4: Simplify right side
    262.52x = 93,676.54
  5. Step 5: Solve for x
    x = 93,676.54/262.52
  6. Step 6: Final answer
    x = 356.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.