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Finding the Fourth Proportional to 192.59, 288.55 and 94.96

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Solution

The fourth proportional to 192.59, 288.55 and 94.96 is: 142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.59 : 288.55 = 94.96 : x
  2. Step 2: Convert to fraction form
    192.59/288.55 = 94.96/x
  3. Step 3: Cross multiply
    192.59x = 288.55 × 94.96
  4. Step 4: Simplify right side
    192.59x = 27,399.83
  5. Step 5: Solve for x
    x = 27,399.83/192.59
  6. Step 6: Final answer
    x = 142.27

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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.