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Finding the Fourth Proportional to 253.63, 378.48 and 226.29

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Solution

The fourth proportional to 253.63, 378.48 and 226.29 is: 337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.63 : 378.48 = 226.29 : x
  2. Step 2: Convert to fraction form
    253.63/378.48 = 226.29/x
  3. Step 3: Cross multiply
    253.63x = 378.48 × 226.29
  4. Step 4: Simplify right side
    253.63x = 85,645.11
  5. Step 5: Solve for x
    x = 85,645.11/253.63
  6. Step 6: Final answer
    x = 337.68

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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.