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Finding the Fourth Proportional to 206.04, 309.12 and 103.26

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Solution

The fourth proportional to 206.04, 309.12 and 103.26 is: 154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 309.12 = 103.26 : x
  2. Step 2: Convert to fraction form
    206.04/309.12 = 103.26/x
  3. Step 3: Cross multiply
    206.04x = 309.12 × 103.26
  4. Step 4: Simplify right side
    206.04x = 31,919.73
  5. Step 5: Solve for x
    x = 31,919.73/206.04
  6. Step 6: Final answer
    x = 154.92

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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.