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Finding the Fourth Proportional to 314.72, 434.22 and 196.81

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Solution

The fourth proportional to 314.72, 434.22 and 196.81 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 434.22 = 196.81 : x
  2. Step 2: Convert to fraction form
    314.72/434.22 = 196.81/x
  3. Step 3: Cross multiply
    314.72x = 434.22 × 196.81
  4. Step 4: Simplify right side
    314.72x = 85,458.84
  5. Step 5: Solve for x
    x = 85,458.84/314.72
  6. Step 6: Final answer
    x = 271.54

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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.