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Finding the Fourth Proportional to 207.38, 285.90 and 163.64

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Solution

The fourth proportional to 207.38, 285.90 and 163.64 is: 225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.38 : 285.90 = 163.64 : x
  2. Step 2: Convert to fraction form
    207.38/285.90 = 163.64/x
  3. Step 3: Cross multiply
    207.38x = 285.90 × 163.64
  4. Step 4: Simplify right side
    207.38x = 46,784.68
  5. Step 5: Solve for x
    x = 46,784.68/207.38
  6. Step 6: Final answer
    x = 225.60

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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.