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Finding the Fourth Proportional to 227.16, 313.32 and 199.47

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Solution

The fourth proportional to 227.16, 313.32 and 199.47 is: 275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 313.32 = 199.47 : x
  2. Step 2: Convert to fraction form
    227.16/313.32 = 199.47/x
  3. Step 3: Cross multiply
    227.16x = 313.32 × 199.47
  4. Step 4: Simplify right side
    227.16x = 62,497.94
  5. Step 5: Solve for x
    x = 62,497.94/227.16
  6. Step 6: Final answer
    x = 275.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.