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Finding the Fourth Proportional to 206.52, 309.78 and 84.70

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Solution

The fourth proportional to 206.52, 309.78 and 84.70 is: 127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.52 : 309.78 = 84.70 : x
  2. Step 2: Convert to fraction form
    206.52/309.78 = 84.70/x
  3. Step 3: Cross multiply
    206.52x = 309.78 × 84.70
  4. Step 4: Simplify right side
    206.52x = 26,236.82
  5. Step 5: Solve for x
    x = 26,236.82/206.52
  6. Step 6: Final answer
    x = 127.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.