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Finding the Fourth Proportional to 206.59, 309.85 and 84.79

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Solution

The fourth proportional to 206.59, 309.85 and 84.79 is: 127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.59 : 309.85 = 84.79 : x
  2. Step 2: Convert to fraction form
    206.59/309.85 = 84.79/x
  3. Step 3: Cross multiply
    206.59x = 309.85 × 84.79
  4. Step 4: Simplify right side
    206.59x = 26,272.18
  5. Step 5: Solve for x
    x = 26,272.18/206.59
  6. Step 6: Final answer
    x = 127.17

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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.