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Finding the Fourth Proportional to 227.75, 341.67 and 165.51

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Solution

The fourth proportional to 227.75, 341.67 and 165.51 is: 248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.75 : 341.67 = 165.51 : x
  2. Step 2: Convert to fraction form
    227.75/341.67 = 165.51/x
  3. Step 3: Cross multiply
    227.75x = 341.67 × 165.51
  4. Step 4: Simplify right side
    227.75x = 56,549.80
  5. Step 5: Solve for x
    x = 56,549.80/227.75
  6. Step 6: Final answer
    x = 248.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.