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Finding the Fourth Proportional to 227.16, 342.14 and 201.78

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Solution

The fourth proportional to 227.16, 342.14 and 201.78 is: 303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 342.14 = 201.78 : x
  2. Step 2: Convert to fraction form
    227.16/342.14 = 201.78/x
  3. Step 3: Cross multiply
    227.16x = 342.14 × 201.78
  4. Step 4: Simplify right side
    227.16x = 69,036.00
  5. Step 5: Solve for x
    x = 69,036.00/227.16
  6. Step 6: Final answer
    x = 303.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.