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Finding the Fourth Proportional to 184.83, 277.22 and 116.14

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Solution

The fourth proportional to 184.83, 277.22 and 116.14 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.83 : 277.22 = 116.14 : x
  2. Step 2: Convert to fraction form
    184.83/277.22 = 116.14/x
  3. Step 3: Cross multiply
    184.83x = 277.22 × 116.14
  4. Step 4: Simplify right side
    184.83x = 32,195.90
  5. Step 5: Solve for x
    x = 32,195.90/184.83
  6. Step 6: Final answer
    x = 174.19

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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.