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Finding the Fourth Proportional to 206.41, 284.86 and 117.91

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Solution

The fourth proportional to 206.41, 284.86 and 117.91 is: 162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.41 : 284.86 = 117.91 : x
  2. Step 2: Convert to fraction form
    206.41/284.86 = 117.91/x
  3. Step 3: Cross multiply
    206.41x = 284.86 × 117.91
  4. Step 4: Simplify right side
    206.41x = 33,586.33
  5. Step 5: Solve for x
    x = 33,586.33/206.41
  6. Step 6: Final answer
    x = 162.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.