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Finding the Fourth Proportional to 206.77, 285.24 and 133.15

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Solution

The fourth proportional to 206.77, 285.24 and 133.15 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.77 : 285.24 = 133.15 : x
  2. Step 2: Convert to fraction form
    206.77/285.24 = 133.15/x
  3. Step 3: Cross multiply
    206.77x = 285.24 × 133.15
  4. Step 4: Simplify right side
    206.77x = 37,979.71
  5. Step 5: Solve for x
    x = 37,979.71/206.77
  6. Step 6: Final answer
    x = 183.68

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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.