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Finding the Fourth Proportional to 227.19, 313.35 and 144.22

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Solution

The fourth proportional to 227.19, 313.35 and 144.22 is: 198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.19 : 313.35 = 144.22 : x
  2. Step 2: Convert to fraction form
    227.19/313.35 = 144.22/x
  3. Step 3: Cross multiply
    227.19x = 313.35 × 144.22
  4. Step 4: Simplify right side
    227.19x = 45,191.34
  5. Step 5: Solve for x
    x = 45,191.34/227.19
  6. Step 6: Final answer
    x = 198.91

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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.