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Finding the Fourth Proportional to 225.55, 311.30 and 138.21

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Solution

The fourth proportional to 225.55, 311.30 and 138.21 is: 190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.55 : 311.30 = 138.21 : x
  2. Step 2: Convert to fraction form
    225.55/311.30 = 138.21/x
  3. Step 3: Cross multiply
    225.55x = 311.30 × 138.21
  4. Step 4: Simplify right side
    225.55x = 43,024.77
  5. Step 5: Solve for x
    x = 43,024.77/225.55
  6. Step 6: Final answer
    x = 190.75

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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.