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Finding the Fourth Proportional to 227.50, 313.83 and 162.04

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Solution

The fourth proportional to 227.50, 313.83 and 162.04 is: 223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.50 : 313.83 = 162.04 : x
  2. Step 2: Convert to fraction form
    227.50/313.83 = 162.04/x
  3. Step 3: Cross multiply
    227.50x = 313.83 × 162.04
  4. Step 4: Simplify right side
    227.50x = 50,853.01
  5. Step 5: Solve for x
    x = 50,853.01/227.50
  6. Step 6: Final answer
    x = 223.53

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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.