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Finding the Fourth Proportional to 206.35, 284.76 and 111.83

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Solution

The fourth proportional to 206.35, 284.76 and 111.83 is: 154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.35 : 284.76 = 111.83 : x
  2. Step 2: Convert to fraction form
    206.35/284.76 = 111.83/x
  3. Step 3: Cross multiply
    206.35x = 284.76 × 111.83
  4. Step 4: Simplify right side
    206.35x = 31,843.81
  5. Step 5: Solve for x
    x = 31,843.81/206.35
  6. Step 6: Final answer
    x = 154.32

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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.