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Finding the Fourth Proportional to 206.84, 284.76 and 179.12

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Solution

The fourth proportional to 206.84, 284.76 and 179.12 is: 246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.84 : 284.76 = 179.12 : x
  2. Step 2: Convert to fraction form
    206.84/284.76 = 179.12/x
  3. Step 3: Cross multiply
    206.84x = 284.76 × 179.12
  4. Step 4: Simplify right side
    206.84x = 51,006.21
  5. Step 5: Solve for x
    x = 51,006.21/206.84
  6. Step 6: Final answer
    x = 246.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.