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Finding the Fourth Proportional to 208.52, 312.46 and 86.75

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Solution

The fourth proportional to 208.52, 312.46 and 86.75 is: 129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 312.46 = 86.75 : x
  2. Step 2: Convert to fraction form
    208.52/312.46 = 86.75/x
  3. Step 3: Cross multiply
    208.52x = 312.46 × 86.75
  4. Step 4: Simplify right side
    208.52x = 27,104.13
  5. Step 5: Solve for x
    x = 27,104.13/208.52
  6. Step 6: Final answer
    x = 129.99

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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.