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Finding the Fourth Proportional to 206.95, 285.69 and 165.46

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Solution

The fourth proportional to 206.95, 285.69 and 165.46 is: 228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.95 : 285.69 = 165.46 : x
  2. Step 2: Convert to fraction form
    206.95/285.69 = 165.46/x
  3. Step 3: Cross multiply
    206.95x = 285.69 × 165.46
  4. Step 4: Simplify right side
    206.95x = 47,270.27
  5. Step 5: Solve for x
    x = 47,270.27/206.95
  6. Step 6: Final answer
    x = 228.41

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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.