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Finding the Fourth Proportional to 208.17, 311.61 and 130.87

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Solution

The fourth proportional to 208.17, 311.61 and 130.87 is: 195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.17 : 311.61 = 130.87 : x
  2. Step 2: Convert to fraction form
    208.17/311.61 = 130.87/x
  3. Step 3: Cross multiply
    208.17x = 311.61 × 130.87
  4. Step 4: Simplify right side
    208.17x = 40,780.40
  5. Step 5: Solve for x
    x = 40,780.40/208.17
  6. Step 6: Final answer
    x = 195.90

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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.