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Finding the Fourth Proportional to 226.68, 312.80 and 180.09

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Solution

The fourth proportional to 226.68, 312.80 and 180.09 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.68 : 312.80 = 180.09 : x
  2. Step 2: Convert to fraction form
    226.68/312.80 = 180.09/x
  3. Step 3: Cross multiply
    226.68x = 312.80 × 180.09
  4. Step 4: Simplify right side
    226.68x = 56,331.25
  5. Step 5: Solve for x
    x = 56,331.25/226.68
  6. Step 6: Final answer
    x = 248.51

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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.