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Finding the Fourth Proportional to 207.27, 285.80 and 165.83

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Solution

The fourth proportional to 207.27, 285.80 and 165.83 is: 228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.27 : 285.80 = 165.83 : x
  2. Step 2: Convert to fraction form
    207.27/285.80 = 165.83/x
  3. Step 3: Cross multiply
    207.27x = 285.80 × 165.83
  4. Step 4: Simplify right side
    207.27x = 47,391.96
  5. Step 5: Solve for x
    x = 47,391.96/207.27
  6. Step 6: Final answer
    x = 228.65

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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.