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Finding the Fourth Proportional to 206.40, 284.22 and 178.72

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Solution

The fourth proportional to 206.40, 284.22 and 178.72 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 284.22 = 178.72 : x
  2. Step 2: Convert to fraction form
    206.40/284.22 = 178.72/x
  3. Step 3: Cross multiply
    206.40x = 284.22 × 178.72
  4. Step 4: Simplify right side
    206.40x = 50,795.80
  5. Step 5: Solve for x
    x = 50,795.80/206.40
  6. Step 6: Final answer
    x = 246.10

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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.