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Finding the Fourth Proportional to 226.79, 312.30 and 195.60

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Solution

The fourth proportional to 226.79, 312.30 and 195.60 is: 269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.79 : 312.30 = 195.60 : x
  2. Step 2: Convert to fraction form
    226.79/312.30 = 195.60/x
  3. Step 3: Cross multiply
    226.79x = 312.30 × 195.60
  4. Step 4: Simplify right side
    226.79x = 61,085.88
  5. Step 5: Solve for x
    x = 61,085.88/226.79
  6. Step 6: Final answer
    x = 269.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.