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Finding the Fourth Proportional to 226.77, 340.23 and 118.47

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Solution

The fourth proportional to 226.77, 340.23 and 118.47 is: 177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.77 : 340.23 = 118.47 : x
  2. Step 2: Convert to fraction form
    226.77/340.23 = 118.47/x
  3. Step 3: Cross multiply
    226.77x = 340.23 × 118.47
  4. Step 4: Simplify right side
    226.77x = 40,307.05
  5. Step 5: Solve for x
    x = 40,307.05/226.77
  6. Step 6: Final answer
    x = 177.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.