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Finding the Fourth Proportional to 206.72, 310.17 and 98.59

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Solution

The fourth proportional to 206.72, 310.17 and 98.59 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 310.17 = 98.59 : x
  2. Step 2: Convert to fraction form
    206.72/310.17 = 98.59/x
  3. Step 3: Cross multiply
    206.72x = 310.17 × 98.59
  4. Step 4: Simplify right side
    206.72x = 30,579.66
  5. Step 5: Solve for x
    x = 30,579.66/206.72
  6. Step 6: Final answer
    x = 147.93

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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.