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Finding the Fourth Proportional to 206.39, 309.35 and 182.04

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Solution

The fourth proportional to 206.39, 309.35 and 182.04 is: 272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.39 : 309.35 = 182.04 : x
  2. Step 2: Convert to fraction form
    206.39/309.35 = 182.04/x
  3. Step 3: Cross multiply
    206.39x = 309.35 × 182.04
  4. Step 4: Simplify right side
    206.39x = 56,314.07
  5. Step 5: Solve for x
    x = 56,314.07/206.39
  6. Step 6: Final answer
    x = 272.85

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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.