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Finding the Fourth Proportional to 227.01, 313.38 and 177.78

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Solution

The fourth proportional to 227.01, 313.38 and 177.78 is: 245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.01 : 313.38 = 177.78 : x
  2. Step 2: Convert to fraction form
    227.01/313.38 = 177.78/x
  3. Step 3: Cross multiply
    227.01x = 313.38 × 177.78
  4. Step 4: Simplify right side
    227.01x = 55,712.70
  5. Step 5: Solve for x
    x = 55,712.70/227.01
  6. Step 6: Final answer
    x = 245.42

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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.