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Finding the Fourth Proportional to 227.04, 313.24 and 178.04

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Solution

The fourth proportional to 227.04, 313.24 and 178.04 is: 245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 313.24 = 178.04 : x
  2. Step 2: Convert to fraction form
    227.04/313.24 = 178.04/x
  3. Step 3: Cross multiply
    227.04x = 313.24 × 178.04
  4. Step 4: Simplify right side
    227.04x = 55,769.25
  5. Step 5: Solve for x
    x = 55,769.25/227.04
  6. Step 6: Final answer
    x = 245.64

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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.