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Finding the Fourth Proportional to 262.24, 360.26 and 212.96

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Solution

The fourth proportional to 262.24, 360.26 and 212.96 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.24 : 360.26 = 212.96 : x
  2. Step 2: Convert to fraction form
    262.24/360.26 = 212.96/x
  3. Step 3: Cross multiply
    262.24x = 360.26 × 212.96
  4. Step 4: Simplify right side
    262.24x = 76,722.80
  5. Step 5: Solve for x
    x = 76,722.80/262.24
  6. Step 6: Final answer
    x = 292.57

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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.