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Finding the Fourth Proportional to 227.48, 342.32 and 166.91

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Solution

The fourth proportional to 227.48, 342.32 and 166.91 is: 251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.48 : 342.32 = 166.91 : x
  2. Step 2: Convert to fraction form
    227.48/342.32 = 166.91/x
  3. Step 3: Cross multiply
    227.48x = 342.32 × 166.91
  4. Step 4: Simplify right side
    227.48x = 57,134.09
  5. Step 5: Solve for x
    x = 57,134.09/227.48
  6. Step 6: Final answer
    x = 251.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.