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Finding the Fourth Proportional to 206.96, 285.64 and 119.64

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Solution

The fourth proportional to 206.96, 285.64 and 119.64 is: 165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.96 : 285.64 = 119.64 : x
  2. Step 2: Convert to fraction form
    206.96/285.64 = 119.64/x
  3. Step 3: Cross multiply
    206.96x = 285.64 × 119.64
  4. Step 4: Simplify right side
    206.96x = 34,173.97
  5. Step 5: Solve for x
    x = 34,173.97/206.96
  6. Step 6: Final answer
    x = 165.12

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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.