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Finding the Fourth Proportional to 208.54, 312.86 and 121.92

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Solution

The fourth proportional to 208.54, 312.86 and 121.92 is: 182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 312.86 = 121.92 : x
  2. Step 2: Convert to fraction form
    208.54/312.86 = 121.92/x
  3. Step 3: Cross multiply
    208.54x = 312.86 × 121.92
  4. Step 4: Simplify right side
    208.54x = 38,143.89
  5. Step 5: Solve for x
    x = 38,143.89/208.54
  6. Step 6: Final answer
    x = 182.91

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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.