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Finding the Fourth Proportional to 313.96, 433.32 and 197.56

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Solution

The fourth proportional to 313.96, 433.32 and 197.56 is: 272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 433.32 = 197.56 : x
  2. Step 2: Convert to fraction form
    313.96/433.32 = 197.56/x
  3. Step 3: Cross multiply
    313.96x = 433.32 × 197.56
  4. Step 4: Simplify right side
    313.96x = 85,606.70
  5. Step 5: Solve for x
    x = 85,606.70/313.96
  6. Step 6: Final answer
    x = 272.67

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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.