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Finding the Fourth Proportional to 291.10, 402.14 and 226.44

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Solution

The fourth proportional to 291.10, 402.14 and 226.44 is: 312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.10 : 402.14 = 226.44 : x
  2. Step 2: Convert to fraction form
    291.10/402.14 = 226.44/x
  3. Step 3: Cross multiply
    291.10x = 402.14 × 226.44
  4. Step 4: Simplify right side
    291.10x = 91,060.58
  5. Step 5: Solve for x
    x = 91,060.58/291.10
  6. Step 6: Final answer
    x = 312.82

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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.