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Finding the Fourth Proportional to 192.92, 288.21 and 154.50

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Solution

The fourth proportional to 192.92, 288.21 and 154.50 is: 230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.92 : 288.21 = 154.50 : x
  2. Step 2: Convert to fraction form
    192.92/288.21 = 154.50/x
  3. Step 3: Cross multiply
    192.92x = 288.21 × 154.50
  4. Step 4: Simplify right side
    192.92x = 44,528.45
  5. Step 5: Solve for x
    x = 44,528.45/192.92
  6. Step 6: Final answer
    x = 230.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.