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Finding the Fourth Proportional to 206.86, 285.50 and 133.15

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Solution

The fourth proportional to 206.86, 285.50 and 133.15 is: 183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.86 : 285.50 = 133.15 : x
  2. Step 2: Convert to fraction form
    206.86/285.50 = 133.15/x
  3. Step 3: Cross multiply
    206.86x = 285.50 × 133.15
  4. Step 4: Simplify right side
    206.86x = 38,014.33
  5. Step 5: Solve for x
    x = 38,014.33/206.86
  6. Step 6: Final answer
    x = 183.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.