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Finding the Fourth Proportional to 206.55, 284.89 and 178.88

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Solution

The fourth proportional to 206.55, 284.89 and 178.88 is: 246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 284.89 = 178.88 : x
  2. Step 2: Convert to fraction form
    206.55/284.89 = 178.88/x
  3. Step 3: Cross multiply
    206.55x = 284.89 × 178.88
  4. Step 4: Simplify right side
    206.55x = 50,960.09
  5. Step 5: Solve for x
    x = 50,960.09/206.55
  6. Step 6: Final answer
    x = 246.72

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Why These Related Problems?

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