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Finding the Fourth Proportional to 226.90, 312.56 and 180.43

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Solution

The fourth proportional to 226.90, 312.56 and 180.43 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.90 : 312.56 = 180.43 : x
  2. Step 2: Convert to fraction form
    226.90/312.56 = 180.43/x
  3. Step 3: Cross multiply
    226.90x = 312.56 × 180.43
  4. Step 4: Simplify right side
    226.90x = 56,394.19
  5. Step 5: Solve for x
    x = 56,394.19/226.90
  6. Step 6: Final answer
    x = 248.54

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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.