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Finding the Fourth Proportional to 192.30, 288.54 and 105.66

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Solution

The fourth proportional to 192.30, 288.54 and 105.66 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.30 : 288.54 = 105.66 : x
  2. Step 2: Convert to fraction form
    192.30/288.54 = 105.66/x
  3. Step 3: Cross multiply
    192.30x = 288.54 × 105.66
  4. Step 4: Simplify right side
    192.30x = 30,487.14
  5. Step 5: Solve for x
    x = 30,487.14/192.30
  6. Step 6: Final answer
    x = 158.54

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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.