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Finding the Fourth Proportional to 205.84, 308.40 and 184.24

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Solution

The fourth proportional to 205.84, 308.40 and 184.24 is: 276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 308.40 = 184.24 : x
  2. Step 2: Convert to fraction form
    205.84/308.40 = 184.24/x
  3. Step 3: Cross multiply
    205.84x = 308.40 × 184.24
  4. Step 4: Simplify right side
    205.84x = 56,819.62
  5. Step 5: Solve for x
    x = 56,819.62/205.84
  6. Step 6: Final answer
    x = 276.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.