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Finding the Fourth Proportional to 206.86, 309.94 and 98.58

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Solution

The fourth proportional to 206.86, 309.94 and 98.58 is: 147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.86 : 309.94 = 98.58 : x
  2. Step 2: Convert to fraction form
    206.86/309.94 = 98.58/x
  3. Step 3: Cross multiply
    206.86x = 309.94 × 98.58
  4. Step 4: Simplify right side
    206.86x = 30,553.89
  5. Step 5: Solve for x
    x = 30,553.89/206.86
  6. Step 6: Final answer
    x = 147.70

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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.