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Finding the Fourth Proportional to 227.24, 313.53 and 165.21

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Solution

The fourth proportional to 227.24, 313.53 and 165.21 is: 227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.24 : 313.53 = 165.21 : x
  2. Step 2: Convert to fraction form
    227.24/313.53 = 165.21/x
  3. Step 3: Cross multiply
    227.24x = 313.53 × 165.21
  4. Step 4: Simplify right side
    227.24x = 51,798.29
  5. Step 5: Solve for x
    x = 51,798.29/227.24
  6. Step 6: Final answer
    x = 227.95

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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.