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Finding the Fourth Proportional to 262.62, 392.20 and 226.16

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Solution

The fourth proportional to 262.62, 392.20 and 226.16 is: 337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.62 : 392.20 = 226.16 : x
  2. Step 2: Convert to fraction form
    262.62/392.20 = 226.16/x
  3. Step 3: Cross multiply
    262.62x = 392.20 × 226.16
  4. Step 4: Simplify right side
    262.62x = 88,699.95
  5. Step 5: Solve for x
    x = 88,699.95/262.62
  6. Step 6: Final answer
    x = 337.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.