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Finding the Fourth Proportional to 208.66, 287.97 and 120.16

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Solution

The fourth proportional to 208.66, 287.97 and 120.16 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 287.97 = 120.16 : x
  2. Step 2: Convert to fraction form
    208.66/287.97 = 120.16/x
  3. Step 3: Cross multiply
    208.66x = 287.97 × 120.16
  4. Step 4: Simplify right side
    208.66x = 34,602.48
  5. Step 5: Solve for x
    x = 34,602.48/208.66
  6. Step 6: Final answer
    x = 165.83

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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.