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Finding the Fourth Proportional to 184.90, 277.14 and 82.12

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Solution

The fourth proportional to 184.90, 277.14 and 82.12 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 277.14 = 82.12 : x
  2. Step 2: Convert to fraction form
    184.90/277.14 = 82.12/x
  3. Step 3: Cross multiply
    184.90x = 277.14 × 82.12
  4. Step 4: Simplify right side
    184.90x = 22,758.74
  5. Step 5: Solve for x
    x = 22,758.74/184.90
  6. Step 6: Final answer
    x = 123.09

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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.