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Finding the Fourth Proportional to 262.38, 393.30 and 166.26

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Solution

The fourth proportional to 262.38, 393.30 and 166.26 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.38 : 393.30 = 166.26 : x
  2. Step 2: Convert to fraction form
    262.38/393.30 = 166.26/x
  3. Step 3: Cross multiply
    262.38x = 393.30 × 166.26
  4. Step 4: Simplify right side
    262.38x = 65,390.06
  5. Step 5: Solve for x
    x = 65,390.06/262.38
  6. Step 6: Final answer
    x = 249.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.