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Finding the Fourth Proportional to 207.33, 285.40 and 165.57

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Solution

The fourth proportional to 207.33, 285.40 and 165.57 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.33 : 285.40 = 165.57 : x
  2. Step 2: Convert to fraction form
    207.33/285.40 = 165.57/x
  3. Step 3: Cross multiply
    207.33x = 285.40 × 165.57
  4. Step 4: Simplify right side
    207.33x = 47,253.68
  5. Step 5: Solve for x
    x = 47,253.68/207.33
  6. Step 6: Final answer
    x = 227.92

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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.