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Finding the Fourth Proportional to 227.57, 313.93 and 144.52

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Solution

The fourth proportional to 227.57, 313.93 and 144.52 is: 199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.57 : 313.93 = 144.52 : x
  2. Step 2: Convert to fraction form
    227.57/313.93 = 144.52/x
  3. Step 3: Cross multiply
    227.57x = 313.93 × 144.52
  4. Step 4: Simplify right side
    227.57x = 45,369.16
  5. Step 5: Solve for x
    x = 45,369.16/227.57
  6. Step 6: Final answer
    x = 199.36

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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.