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Finding the Fourth Proportional to 188.97, 261.06 and 142.71

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Solution

The fourth proportional to 188.97, 261.06 and 142.71 is: 197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 261.06 = 142.71 : x
  2. Step 2: Convert to fraction form
    188.97/261.06 = 142.71/x
  3. Step 3: Cross multiply
    188.97x = 261.06 × 142.71
  4. Step 4: Simplify right side
    188.97x = 37,255.87
  5. Step 5: Solve for x
    x = 37,255.87/188.97
  6. Step 6: Final answer
    x = 197.15

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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.