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Finding the Fourth Proportional to 206.15, 284.24 and 176.99

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Solution

The fourth proportional to 206.15, 284.24 and 176.99 is: 244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.15 : 284.24 = 176.99 : x
  2. Step 2: Convert to fraction form
    206.15/284.24 = 176.99/x
  3. Step 3: Cross multiply
    206.15x = 284.24 × 176.99
  4. Step 4: Simplify right side
    206.15x = 50,306.75
  5. Step 5: Solve for x
    x = 50,306.75/206.15
  6. Step 6: Final answer
    x = 244.03

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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.