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Finding the Fourth Proportional to 192.65, 289 and 105.95

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Solution

The fourth proportional to 192.65, 289 and 105.95 is: 158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.65 : 289 = 105.95 : x
  2. Step 2: Convert to fraction form
    192.65/289 = 105.95/x
  3. Step 3: Cross multiply
    192.65x = 289 × 105.95
  4. Step 4: Simplify right side
    192.65x = 30,619.55
  5. Step 5: Solve for x
    x = 30,619.55/192.65
  6. Step 6: Final answer
    x = 158.94

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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.