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Finding the Fourth Proportional to 192.49, 288.73 and 89.74

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Solution

The fourth proportional to 192.49, 288.73 and 89.74 is: 134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.49 : 288.73 = 89.74 : x
  2. Step 2: Convert to fraction form
    192.49/288.73 = 89.74/x
  3. Step 3: Cross multiply
    192.49x = 288.73 × 89.74
  4. Step 4: Simplify right side
    192.49x = 25,911.10
  5. Step 5: Solve for x
    x = 25,911.10/192.49
  6. Step 6: Final answer
    x = 134.61

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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.