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Finding the Fourth Proportional to 225.54, 311.11 and 170.17

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Solution

The fourth proportional to 225.54, 311.11 and 170.17 is: 234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.54 : 311.11 = 170.17 : x
  2. Step 2: Convert to fraction form
    225.54/311.11 = 170.17/x
  3. Step 3: Cross multiply
    225.54x = 311.11 × 170.17
  4. Step 4: Simplify right side
    225.54x = 52,941.59
  5. Step 5: Solve for x
    x = 52,941.59/225.54
  6. Step 6: Final answer
    x = 234.73

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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.