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Finding the Fourth Proportional to 226.80, 312.92 and 177.68

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Solution

The fourth proportional to 226.80, 312.92 and 177.68 is: 245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.80 : 312.92 = 177.68 : x
  2. Step 2: Convert to fraction form
    226.80/312.92 = 177.68/x
  3. Step 3: Cross multiply
    226.80x = 312.92 × 177.68
  4. Step 4: Simplify right side
    226.80x = 55,599.63
  5. Step 5: Solve for x
    x = 55,599.63/226.80
  6. Step 6: Final answer
    x = 245.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.