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Finding the Fourth Proportional to 206.72, 310.02 and 103.94

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Solution

The fourth proportional to 206.72, 310.02 and 103.94 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 310.02 = 103.94 : x
  2. Step 2: Convert to fraction form
    206.72/310.02 = 103.94/x
  3. Step 3: Cross multiply
    206.72x = 310.02 × 103.94
  4. Step 4: Simplify right side
    206.72x = 32,221.93
  5. Step 5: Solve for x
    x = 32,221.93/206.72
  6. Step 6: Final answer
    x = 155.87

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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.