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Finding the Fourth Proportional to 184.92, 277.56 and 93.69

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Solution

The fourth proportional to 184.92, 277.56 and 93.69 is: 140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 277.56 = 93.69 : x
  2. Step 2: Convert to fraction form
    184.92/277.56 = 93.69/x
  3. Step 3: Cross multiply
    184.92x = 277.56 × 93.69
  4. Step 4: Simplify right side
    184.92x = 26,003.43
  5. Step 5: Solve for x
    x = 26,003.43/184.92
  6. Step 6: Final answer
    x = 140.62

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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.