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Finding the Fourth Proportional to 206.77, 285.53 and 133.21

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Solution

The fourth proportional to 206.77, 285.53 and 133.21 is: 183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.77 : 285.53 = 133.21 : x
  2. Step 2: Convert to fraction form
    206.77/285.53 = 133.21/x
  3. Step 3: Cross multiply
    206.77x = 285.53 × 133.21
  4. Step 4: Simplify right side
    206.77x = 38,036.50
  5. Step 5: Solve for x
    x = 38,036.50/206.77
  6. Step 6: Final answer
    x = 183.96

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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.