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Finding the Fourth Proportional to 208.34, 311.91 and 196.16

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Solution

The fourth proportional to 208.34, 311.91 and 196.16 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.34 : 311.91 = 196.16 : x
  2. Step 2: Convert to fraction form
    208.34/311.91 = 196.16/x
  3. Step 3: Cross multiply
    208.34x = 311.91 × 196.16
  4. Step 4: Simplify right side
    208.34x = 61,184.27
  5. Step 5: Solve for x
    x = 61,184.27/208.34
  6. Step 6: Final answer
    x = 293.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.