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Finding the Fourth Proportional to 342.96, 513.70 and 227.46

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Solution

The fourth proportional to 342.96, 513.70 and 227.46 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 513.70 = 227.46 : x
  2. Step 2: Convert to fraction form
    342.96/513.70 = 227.46/x
  3. Step 3: Cross multiply
    342.96x = 513.70 × 227.46
  4. Step 4: Simplify right side
    342.96x = 116,846.20
  5. Step 5: Solve for x
    x = 116,846.20/342.96
  6. Step 6: Final answer
    x = 340.70

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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.