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Finding the Fourth Proportional to 208.54, 312.83 and 86.79

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Solution

The fourth proportional to 208.54, 312.83 and 86.79 is: 130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 312.83 = 86.79 : x
  2. Step 2: Convert to fraction form
    208.54/312.83 = 86.79/x
  3. Step 3: Cross multiply
    208.54x = 312.83 × 86.79
  4. Step 4: Simplify right side
    208.54x = 27,150.52
  5. Step 5: Solve for x
    x = 27,150.52/208.54
  6. Step 6: Final answer
    x = 130.19

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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.