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Finding the Fourth Proportional to 188.68, 260.35 and 122.33

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Solution

The fourth proportional to 188.68, 260.35 and 122.33 is: 168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.68 : 260.35 = 122.33 : x
  2. Step 2: Convert to fraction form
    188.68/260.35 = 122.33/x
  3. Step 3: Cross multiply
    188.68x = 260.35 × 122.33
  4. Step 4: Simplify right side
    188.68x = 31,847.01
  5. Step 5: Solve for x
    x = 31,847.01/188.68
  6. Step 6: Final answer
    x = 168.79

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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.