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Finding the Fourth Proportional to 262.86, 360.62 and 246.30

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Solution

The fourth proportional to 262.86, 360.62 and 246.30 is: 337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.86 : 360.62 = 246.30 : x
  2. Step 2: Convert to fraction form
    262.86/360.62 = 246.30/x
  3. Step 3: Cross multiply
    262.86x = 360.62 × 246.30
  4. Step 4: Simplify right side
    262.86x = 88,819.47
  5. Step 5: Solve for x
    x = 88,819.47/262.86
  6. Step 6: Final answer
    x = 337.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.