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Finding the Fourth Proportional to 206.66, 285.13 and 119.32

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Solution

The fourth proportional to 206.66, 285.13 and 119.32 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.66 : 285.13 = 119.32 : x
  2. Step 2: Convert to fraction form
    206.66/285.13 = 119.32/x
  3. Step 3: Cross multiply
    206.66x = 285.13 × 119.32
  4. Step 4: Simplify right side
    206.66x = 34,021.15
  5. Step 5: Solve for x
    x = 34,021.15/206.66
  6. Step 6: Final answer
    x = 164.62

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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.