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Finding the Fourth Proportional to 192.46, 288.69 and 89.78

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Solution

The fourth proportional to 192.46, 288.69 and 89.78 is: 134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.46 : 288.69 = 89.78 : x
  2. Step 2: Convert to fraction form
    192.46/288.69 = 89.78/x
  3. Step 3: Cross multiply
    192.46x = 288.69 × 89.78
  4. Step 4: Simplify right side
    192.46x = 25,917.14
  5. Step 5: Solve for x
    x = 25,917.14/192.46
  6. Step 6: Final answer
    x = 134.66

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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.