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Finding the Fourth Proportional to 227.25, 313.77 and 178.04

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Solution

The fourth proportional to 227.25, 313.77 and 178.04 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.25 : 313.77 = 178.04 : x
  2. Step 2: Convert to fraction form
    227.25/313.77 = 178.04/x
  3. Step 3: Cross multiply
    227.25x = 313.77 × 178.04
  4. Step 4: Simplify right side
    227.25x = 55,862.04
  5. Step 5: Solve for x
    x = 55,862.04/227.25
  6. Step 6: Final answer
    x = 245.82

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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.