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Finding the Fourth Proportional to 184.46, 277.25 and 107.57

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Solution

The fourth proportional to 184.46, 277.25 and 107.57 is: 161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.46 : 277.25 = 107.57 : x
  2. Step 2: Convert to fraction form
    184.46/277.25 = 107.57/x
  3. Step 3: Cross multiply
    184.46x = 277.25 × 107.57
  4. Step 4: Simplify right side
    184.46x = 29,823.94
  5. Step 5: Solve for x
    x = 29,823.94/184.46
  6. Step 6: Final answer
    x = 161.69

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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.