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Finding the Fourth Proportional to 206.17, 308.61 and 114.64

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Solution

The fourth proportional to 206.17, 308.61 and 114.64 is: 171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.17 : 308.61 = 114.64 : x
  2. Step 2: Convert to fraction form
    206.17/308.61 = 114.64/x
  3. Step 3: Cross multiply
    206.17x = 308.61 × 114.64
  4. Step 4: Simplify right side
    206.17x = 35,378.28
  5. Step 5: Solve for x
    x = 35,378.28/206.17
  6. Step 6: Final answer
    x = 171.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.