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Finding the Fourth Proportional to 192.28, 287.91 and 100.79

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Solution

The fourth proportional to 192.28, 287.91 and 100.79 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.28 : 287.91 = 100.79 : x
  2. Step 2: Convert to fraction form
    192.28/287.91 = 100.79/x
  3. Step 3: Cross multiply
    192.28x = 287.91 × 100.79
  4. Step 4: Simplify right side
    192.28x = 29,018.72
  5. Step 5: Solve for x
    x = 29,018.72/192.28
  6. Step 6: Final answer
    x = 150.92

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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.