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Finding the Fourth Proportional to 192.91, 289.47 and 127.75

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Solution

The fourth proportional to 192.91, 289.47 and 127.75 is: 191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.91 : 289.47 = 127.75 : x
  2. Step 2: Convert to fraction form
    192.91/289.47 = 127.75/x
  3. Step 3: Cross multiply
    192.91x = 289.47 × 127.75
  4. Step 4: Simplify right side
    192.91x = 36,979.79
  5. Step 5: Solve for x
    x = 36,979.79/192.91
  6. Step 6: Final answer
    x = 191.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.