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Finding the Fourth Proportional to 208.24, 287.28 and 120.89

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Solution

The fourth proportional to 208.24, 287.28 and 120.89 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.24 : 287.28 = 120.89 : x
  2. Step 2: Convert to fraction form
    208.24/287.28 = 120.89/x
  3. Step 3: Cross multiply
    208.24x = 287.28 × 120.89
  4. Step 4: Simplify right side
    208.24x = 34,730.00
  5. Step 5: Solve for x
    x = 34,730.00/208.24
  6. Step 6: Final answer
    x = 166.78

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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.