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Finding the Fourth Proportional to 226.79, 339.80 and 177.84

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Solution

The fourth proportional to 226.79, 339.80 and 177.84 is: 266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.79 : 339.80 = 177.84 : x
  2. Step 2: Convert to fraction form
    226.79/339.80 = 177.84/x
  3. Step 3: Cross multiply
    226.79x = 339.80 × 177.84
  4. Step 4: Simplify right side
    226.79x = 60,430.03
  5. Step 5: Solve for x
    x = 60,430.03/226.79
  6. Step 6: Final answer
    x = 266.46

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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.