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Finding the Fourth Proportional to 183, 274.32 and 109.92

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Solution

The fourth proportional to 183, 274.32 and 109.92 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183 : 274.32 = 109.92 : x
  2. Step 2: Convert to fraction form
    183/274.32 = 109.92/x
  3. Step 3: Cross multiply
    183x = 274.32 × 109.92
  4. Step 4: Simplify right side
    183x = 30,153.25
  5. Step 5: Solve for x
    x = 30,153.25/183
  6. Step 6: Final answer
    x = 164.77

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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.