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Finding the Fourth Proportional to 184.92, 277.40 and 112.70

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Solution

The fourth proportional to 184.92, 277.40 and 112.70 is: 169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 277.40 = 112.70 : x
  2. Step 2: Convert to fraction form
    184.92/277.40 = 112.70/x
  3. Step 3: Cross multiply
    184.92x = 277.40 × 112.70
  4. Step 4: Simplify right side
    184.92x = 31,262.98
  5. Step 5: Solve for x
    x = 31,262.98/184.92
  6. Step 6: Final answer
    x = 169.06

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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.