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Finding the Fourth Proportional to 207.18, 285.82 and 165.80

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Solution

The fourth proportional to 207.18, 285.82 and 165.80 is: 228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.18 : 285.82 = 165.80 : x
  2. Step 2: Convert to fraction form
    207.18/285.82 = 165.80/x
  3. Step 3: Cross multiply
    207.18x = 285.82 × 165.80
  4. Step 4: Simplify right side
    207.18x = 47,387.11
  5. Step 5: Solve for x
    x = 47,387.11/207.18
  6. Step 6: Final answer
    x = 228.72

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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.