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Finding the Fourth Proportional to 192.15, 288.26 and 105.45

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Solution

The fourth proportional to 192.15, 288.26 and 105.45 is: 158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.15 : 288.26 = 105.45 : x
  2. Step 2: Convert to fraction form
    192.15/288.26 = 105.45/x
  3. Step 3: Cross multiply
    192.15x = 288.26 × 105.45
  4. Step 4: Simplify right side
    192.15x = 30,396.49
  5. Step 5: Solve for x
    x = 30,396.49/192.15
  6. Step 6: Final answer
    x = 158.19

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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.