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Finding the Fourth Proportional to 184.75, 277.11 and 112.45

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Solution

The fourth proportional to 184.75, 277.11 and 112.45 is: 168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.75 : 277.11 = 112.45 : x
  2. Step 2: Convert to fraction form
    184.75/277.11 = 112.45/x
  3. Step 3: Cross multiply
    184.75x = 277.11 × 112.45
  4. Step 4: Simplify right side
    184.75x = 31,161.02
  5. Step 5: Solve for x
    x = 31,161.02/184.75
  6. Step 6: Final answer
    x = 168.67

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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.