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Finding the Fourth Proportional to 206.59, 309.91 and 91.03

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Solution

The fourth proportional to 206.59, 309.91 and 91.03 is: 136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.59 : 309.91 = 91.03 : x
  2. Step 2: Convert to fraction form
    206.59/309.91 = 91.03/x
  3. Step 3: Cross multiply
    206.59x = 309.91 × 91.03
  4. Step 4: Simplify right side
    206.59x = 28,211.11
  5. Step 5: Solve for x
    x = 28,211.11/206.59
  6. Step 6: Final answer
    x = 136.56

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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.