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Finding the Fourth Proportional to 315.08, 434.73 and 196.87

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Solution

The fourth proportional to 315.08, 434.73 and 196.87 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.08 : 434.73 = 196.87 : x
  2. Step 2: Convert to fraction form
    315.08/434.73 = 196.87/x
  3. Step 3: Cross multiply
    315.08x = 434.73 × 196.87
  4. Step 4: Simplify right side
    315.08x = 85,583.47
  5. Step 5: Solve for x
    x = 85,583.47/315.08
  6. Step 6: Final answer
    x = 271.63

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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.