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Finding the Fourth Proportional to 227.04, 313.23 and 139.69

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Solution

The fourth proportional to 227.04, 313.23 and 139.69 is: 192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 313.23 = 139.69 : x
  2. Step 2: Convert to fraction form
    227.04/313.23 = 139.69/x
  3. Step 3: Cross multiply
    227.04x = 313.23 × 139.69
  4. Step 4: Simplify right side
    227.04x = 43,755.10
  5. Step 5: Solve for x
    x = 43,755.10/227.04
  6. Step 6: Final answer
    x = 192.72

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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.