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Finding the Fourth Proportional to 231.60, 318.96 and 226.56

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Solution

The fourth proportional to 231.60, 318.96 and 226.56 is: 312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.60 : 318.96 = 226.56 : x
  2. Step 2: Convert to fraction form
    231.60/318.96 = 226.56/x
  3. Step 3: Cross multiply
    231.60x = 318.96 × 226.56
  4. Step 4: Simplify right side
    231.60x = 72,263.58
  5. Step 5: Solve for x
    x = 72,263.58/231.60
  6. Step 6: Final answer
    x = 312.02

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Why These Related Problems?

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