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Finding the Fourth Proportional to 262.26, 362.22 and 168.99

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Solution

The fourth proportional to 262.26, 362.22 and 168.99 is: 233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.26 : 362.22 = 168.99 : x
  2. Step 2: Convert to fraction form
    262.26/362.22 = 168.99/x
  3. Step 3: Cross multiply
    262.26x = 362.22 × 168.99
  4. Step 4: Simplify right side
    262.26x = 61,211.56
  5. Step 5: Solve for x
    x = 61,211.56/262.26
  6. Step 6: Final answer
    x = 233.40

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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.