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Finding the Fourth Proportional to 206.94, 285.42 and 133.23

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Solution

The fourth proportional to 206.94, 285.42 and 133.23 is: 183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 285.42 = 133.23 : x
  2. Step 2: Convert to fraction form
    206.94/285.42 = 133.23/x
  3. Step 3: Cross multiply
    206.94x = 285.42 × 133.23
  4. Step 4: Simplify right side
    206.94x = 38,026.51
  5. Step 5: Solve for x
    x = 38,026.51/206.94
  6. Step 6: Final answer
    x = 183.76

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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.