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Finding the Fourth Proportional to 227.25, 342.09 and 197.46

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Solution

The fourth proportional to 227.25, 342.09 and 197.46 is: 297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.25 : 342.09 = 197.46 : x
  2. Step 2: Convert to fraction form
    227.25/342.09 = 197.46/x
  3. Step 3: Cross multiply
    227.25x = 342.09 × 197.46
  4. Step 4: Simplify right side
    227.25x = 67,549.09
  5. Step 5: Solve for x
    x = 67,549.09/227.25
  6. Step 6: Final answer
    x = 297.25

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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.