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Finding the Fourth Proportional to 207.30, 285.97 and 165.75

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Solution

The fourth proportional to 207.30, 285.97 and 165.75 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.30 : 285.97 = 165.75 : x
  2. Step 2: Convert to fraction form
    207.30/285.97 = 165.75/x
  3. Step 3: Cross multiply
    207.30x = 285.97 × 165.75
  4. Step 4: Simplify right side
    207.30x = 47,399.53
  5. Step 5: Solve for x
    x = 47,399.53/207.30
  6. Step 6: Final answer
    x = 228.66

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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.