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Finding the Fourth Proportional to 184.68, 277.14 and 81.99

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Solution

The fourth proportional to 184.68, 277.14 and 81.99 is: 123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.68 : 277.14 = 81.99 : x
  2. Step 2: Convert to fraction form
    184.68/277.14 = 81.99/x
  3. Step 3: Cross multiply
    184.68x = 277.14 × 81.99
  4. Step 4: Simplify right side
    184.68x = 22,722.71
  5. Step 5: Solve for x
    x = 22,722.71/184.68
  6. Step 6: Final answer
    x = 123.04

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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.