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Finding the Fourth Proportional to 208.16, 311.98 and 86.30

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Solution

The fourth proportional to 208.16, 311.98 and 86.30 is: 129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 311.98 = 86.30 : x
  2. Step 2: Convert to fraction form
    208.16/311.98 = 86.30/x
  3. Step 3: Cross multiply
    208.16x = 311.98 × 86.30
  4. Step 4: Simplify right side
    208.16x = 26,923.87
  5. Step 5: Solve for x
    x = 26,923.87/208.16
  6. Step 6: Final answer
    x = 129.34

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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.