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Finding the Fourth Proportional to 312.20, 430.66 and 195.56

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Solution

The fourth proportional to 312.20, 430.66 and 195.56 is: 269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.20 : 430.66 = 195.56 : x
  2. Step 2: Convert to fraction form
    312.20/430.66 = 195.56/x
  3. Step 3: Cross multiply
    312.20x = 430.66 × 195.56
  4. Step 4: Simplify right side
    312.20x = 84,219.87
  5. Step 5: Solve for x
    x = 84,219.87/312.20
  6. Step 6: Final answer
    x = 269.76

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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.