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Finding the Fourth Proportional to 206.57, 309.96 and 84.87

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Solution

The fourth proportional to 206.57, 309.96 and 84.87 is: 127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 309.96 = 84.87 : x
  2. Step 2: Convert to fraction form
    206.57/309.96 = 84.87/x
  3. Step 3: Cross multiply
    206.57x = 309.96 × 84.87
  4. Step 4: Simplify right side
    206.57x = 26,306.31
  5. Step 5: Solve for x
    x = 26,306.31/206.57
  6. Step 6: Final answer
    x = 127.35

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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.