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Finding the Fourth Proportional to 208.16, 287.25 and 120.83

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Solution

The fourth proportional to 208.16, 287.25 and 120.83 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 287.25 = 120.83 : x
  2. Step 2: Convert to fraction form
    208.16/287.25 = 120.83/x
  3. Step 3: Cross multiply
    208.16x = 287.25 × 120.83
  4. Step 4: Simplify right side
    208.16x = 34,708.42
  5. Step 5: Solve for x
    x = 34,708.42/208.16
  6. Step 6: Final answer
    x = 166.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.