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Finding the Fourth Proportional to 206.37, 284.63 and 164.88

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Solution

The fourth proportional to 206.37, 284.63 and 164.88 is: 227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.37 : 284.63 = 164.88 : x
  2. Step 2: Convert to fraction form
    206.37/284.63 = 164.88/x
  3. Step 3: Cross multiply
    206.37x = 284.63 × 164.88
  4. Step 4: Simplify right side
    206.37x = 46,928.97
  5. Step 5: Solve for x
    x = 46,928.97/206.37
  6. Step 6: Final answer
    x = 227.40

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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.