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Finding the Fourth Proportional to 227.06, 340.46 and 90.03

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Solution

The fourth proportional to 227.06, 340.46 and 90.03 is: 134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.06 : 340.46 = 90.03 : x
  2. Step 2: Convert to fraction form
    227.06/340.46 = 90.03/x
  3. Step 3: Cross multiply
    227.06x = 340.46 × 90.03
  4. Step 4: Simplify right side
    227.06x = 30,651.61
  5. Step 5: Solve for x
    x = 30,651.61/227.06
  6. Step 6: Final answer
    x = 134.99

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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.