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Finding the Fourth Proportional to 227.32, 313.40 and 165.08

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Solution

The fourth proportional to 227.32, 313.40 and 165.08 is: 227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.32 : 313.40 = 165.08 : x
  2. Step 2: Convert to fraction form
    227.32/313.40 = 165.08/x
  3. Step 3: Cross multiply
    227.32x = 313.40 × 165.08
  4. Step 4: Simplify right side
    227.32x = 51,736.07
  5. Step 5: Solve for x
    x = 51,736.07/227.32
  6. Step 6: Final answer
    x = 227.59

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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.