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Finding the Fourth Proportional to 188.39, 259.84 and 121.95

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Solution

The fourth proportional to 188.39, 259.84 and 121.95 is: 168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.39 : 259.84 = 121.95 : x
  2. Step 2: Convert to fraction form
    188.39/259.84 = 121.95/x
  3. Step 3: Cross multiply
    188.39x = 259.84 × 121.95
  4. Step 4: Simplify right side
    188.39x = 31,687.49
  5. Step 5: Solve for x
    x = 31,687.49/188.39
  6. Step 6: Final answer
    x = 168.20

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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.