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Finding the Fourth Proportional to 227.24, 313.40 and 148.55

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Solution

The fourth proportional to 227.24, 313.40 and 148.55 is: 204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.24 : 313.40 = 148.55 : x
  2. Step 2: Convert to fraction form
    227.24/313.40 = 148.55/x
  3. Step 3: Cross multiply
    227.24x = 313.40 × 148.55
  4. Step 4: Simplify right side
    227.24x = 46,555.57
  5. Step 5: Solve for x
    x = 46,555.57/227.24
  6. Step 6: Final answer
    x = 204.87

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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.