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Finding the Fourth Proportional to 206.83, 285.55 and 133.27

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Solution

The fourth proportional to 206.83, 285.55 and 133.27 is: 184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 285.55 = 133.27 : x
  2. Step 2: Convert to fraction form
    206.83/285.55 = 133.27/x
  3. Step 3: Cross multiply
    206.83x = 285.55 × 133.27
  4. Step 4: Simplify right side
    206.83x = 38,056.56
  5. Step 5: Solve for x
    x = 38,056.56/206.83
  6. Step 6: Final answer
    x = 184.00

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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.