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Finding the Fourth Proportional to 208.22, 287.33 and 119.70

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Solution

The fourth proportional to 208.22, 287.33 and 119.70 is: 165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 287.33 = 119.70 : x
  2. Step 2: Convert to fraction form
    208.22/287.33 = 119.70/x
  3. Step 3: Cross multiply
    208.22x = 287.33 × 119.70
  4. Step 4: Simplify right side
    208.22x = 34,392.80
  5. Step 5: Solve for x
    x = 34,392.80/208.22
  6. Step 6: Final answer
    x = 165.18

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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.