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Finding the Fourth Proportional to 227.64, 342.67 and 197.88

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Solution

The fourth proportional to 227.64, 342.67 and 197.88 is: 297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.64 : 342.67 = 197.88 : x
  2. Step 2: Convert to fraction form
    227.64/342.67 = 197.88/x
  3. Step 3: Cross multiply
    227.64x = 342.67 × 197.88
  4. Step 4: Simplify right side
    227.64x = 67,807.54
  5. Step 5: Solve for x
    x = 67,807.54/227.64
  6. Step 6: Final answer
    x = 297.87

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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.