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Finding the Fourth Proportional to 252.09, 376.16 and 226.13

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Solution

The fourth proportional to 252.09, 376.16 and 226.13 is: 337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.09 : 376.16 = 226.13 : x
  2. Step 2: Convert to fraction form
    252.09/376.16 = 226.13/x
  3. Step 3: Cross multiply
    252.09x = 376.16 × 226.13
  4. Step 4: Simplify right side
    252.09x = 85,058.05
  5. Step 5: Solve for x
    x = 85,058.05/252.09
  6. Step 6: Final answer
    x = 337.41

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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.