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Finding the Fourth Proportional to 206.75, 285.26 and 133.10

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Solution

The fourth proportional to 206.75, 285.26 and 133.10 is: 183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 285.26 = 133.10 : x
  2. Step 2: Convert to fraction form
    206.75/285.26 = 133.10/x
  3. Step 3: Cross multiply
    206.75x = 285.26 × 133.10
  4. Step 4: Simplify right side
    206.75x = 37,968.11
  5. Step 5: Solve for x
    x = 37,968.11/206.75
  6. Step 6: Final answer
    x = 183.64

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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.