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Finding the Fourth Proportional to 206.32, 284.16 and 178.72

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Solution

The fourth proportional to 206.32, 284.16 and 178.72 is: 246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.32 : 284.16 = 178.72 : x
  2. Step 2: Convert to fraction form
    206.32/284.16 = 178.72/x
  3. Step 3: Cross multiply
    206.32x = 284.16 × 178.72
  4. Step 4: Simplify right side
    206.32x = 50,785.08
  5. Step 5: Solve for x
    x = 50,785.08/206.32
  6. Step 6: Final answer
    x = 246.15

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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.