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Finding the Fourth Proportional to 206.39, 309.58 and 103.57

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Solution

The fourth proportional to 206.39, 309.58 and 103.57 is: 155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.39 : 309.58 = 103.57 : x
  2. Step 2: Convert to fraction form
    206.39/309.58 = 103.57/x
  3. Step 3: Cross multiply
    206.39x = 309.58 × 103.57
  4. Step 4: Simplify right side
    206.39x = 32,062.17
  5. Step 5: Solve for x
    x = 32,062.17/206.39
  6. Step 6: Final answer
    x = 155.35

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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.