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Finding the Fourth Proportional to 184.28, 277.83 and 166.86

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Solution

The fourth proportional to 184.28, 277.83 and 166.86 is: 251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.28 : 277.83 = 166.86 : x
  2. Step 2: Convert to fraction form
    184.28/277.83 = 166.86/x
  3. Step 3: Cross multiply
    184.28x = 277.83 × 166.86
  4. Step 4: Simplify right side
    184.28x = 46,358.71
  5. Step 5: Solve for x
    x = 46,358.71/184.28
  6. Step 6: Final answer
    x = 251.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.