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Finding the Fourth Proportional to 223.42, 333.89 and 179.60

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Solution

The fourth proportional to 223.42, 333.89 and 179.60 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.42 : 333.89 = 179.60 : x
  2. Step 2: Convert to fraction form
    223.42/333.89 = 179.60/x
  3. Step 3: Cross multiply
    223.42x = 333.89 × 179.60
  4. Step 4: Simplify right side
    223.42x = 59,965.75
  5. Step 5: Solve for x
    x = 59,965.75/223.42
  6. Step 6: Final answer
    x = 268.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.