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Finding the Fourth Proportional to 226.15, 312 and 143.11

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Solution

The fourth proportional to 226.15, 312 and 143.11 is: 197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.15 : 312 = 143.11 : x
  2. Step 2: Convert to fraction form
    226.15/312 = 143.11/x
  3. Step 3: Cross multiply
    226.15x = 312 × 143.11
  4. Step 4: Simplify right side
    226.15x = 44,650.32
  5. Step 5: Solve for x
    x = 44,650.32/226.15
  6. Step 6: Final answer
    x = 197.44

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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.