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Finding the Fourth Proportional to 227.14, 313.36 and 153.51

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Solution

The fourth proportional to 227.14, 313.36 and 153.51 is: 211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.14 : 313.36 = 153.51 : x
  2. Step 2: Convert to fraction form
    227.14/313.36 = 153.51/x
  3. Step 3: Cross multiply
    227.14x = 313.36 × 153.51
  4. Step 4: Simplify right side
    227.14x = 48,102.33
  5. Step 5: Solve for x
    x = 48,102.33/227.14
  6. Step 6: Final answer
    x = 211.78

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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.