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Finding the Fourth Proportional to 262.62, 362.12 and 169.35

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Solution

The fourth proportional to 262.62, 362.12 and 169.35 is: 233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.62 : 362.12 = 169.35 : x
  2. Step 2: Convert to fraction form
    262.62/362.12 = 169.35/x
  3. Step 3: Cross multiply
    262.62x = 362.12 × 169.35
  4. Step 4: Simplify right side
    262.62x = 61,324.18
  5. Step 5: Solve for x
    x = 61,324.18/262.62
  6. Step 6: Final answer
    x = 233.51

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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.