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Finding the Fourth Proportional to 192.35, 288.32 and 109.98

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Solution

The fourth proportional to 192.35, 288.32 and 109.98 is: 164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.35 : 288.32 = 109.98 : x
  2. Step 2: Convert to fraction form
    192.35/288.32 = 109.98/x
  3. Step 3: Cross multiply
    192.35x = 288.32 × 109.98
  4. Step 4: Simplify right side
    192.35x = 31,709.43
  5. Step 5: Solve for x
    x = 31,709.43/192.35
  6. Step 6: Final answer
    x = 164.85

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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.