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Finding the Fourth Proportional to 223.59, 334.73 and 166.08

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Solution

The fourth proportional to 223.59, 334.73 and 166.08 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.59 : 334.73 = 166.08 : x
  2. Step 2: Convert to fraction form
    223.59/334.73 = 166.08/x
  3. Step 3: Cross multiply
    223.59x = 334.73 × 166.08
  4. Step 4: Simplify right side
    223.59x = 55,591.96
  5. Step 5: Solve for x
    x = 55,591.96/223.59
  6. Step 6: Final answer
    x = 248.63

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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.