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Finding the Fourth Proportional to 225.65, 311.31 and 142.61

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Solution

The fourth proportional to 225.65, 311.31 and 142.61 is: 196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.65 : 311.31 = 142.61 : x
  2. Step 2: Convert to fraction form
    225.65/311.31 = 142.61/x
  3. Step 3: Cross multiply
    225.65x = 311.31 × 142.61
  4. Step 4: Simplify right side
    225.65x = 44,395.92
  5. Step 5: Solve for x
    x = 44,395.92/225.65
  6. Step 6: Final answer
    x = 196.75

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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.