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Finding the Fourth Proportional to 206.08, 284.65 and 171.25

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Solution

The fourth proportional to 206.08, 284.65 and 171.25 is: 236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 284.65 = 171.25 : x
  2. Step 2: Convert to fraction form
    206.08/284.65 = 171.25/x
  3. Step 3: Cross multiply
    206.08x = 284.65 × 171.25
  4. Step 4: Simplify right side
    206.08x = 48,745.17
  5. Step 5: Solve for x
    x = 48,745.17/206.08
  6. Step 6: Final answer
    x = 236.54

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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.