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Finding the Fourth Proportional to 226.70, 340.38 and 181.10

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Solution

The fourth proportional to 226.70, 340.38 and 181.10 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.70 : 340.38 = 181.10 : x
  2. Step 2: Convert to fraction form
    226.70/340.38 = 181.10/x
  3. Step 3: Cross multiply
    226.70x = 340.38 × 181.10
  4. Step 4: Simplify right side
    226.70x = 61,642.82
  5. Step 5: Solve for x
    x = 61,642.82/226.70
  6. Step 6: Final answer
    x = 271.91

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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.