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Finding the Fourth Proportional to 235.62, 324.72 and 206.06

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Solution

The fourth proportional to 235.62, 324.72 and 206.06 is: 283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.62 : 324.72 = 206.06 : x
  2. Step 2: Convert to fraction form
    235.62/324.72 = 206.06/x
  3. Step 3: Cross multiply
    235.62x = 324.72 × 206.06
  4. Step 4: Simplify right side
    235.62x = 66,910.18
  5. Step 5: Solve for x
    x = 66,910.18/235.62
  6. Step 6: Final answer
    x = 283.97

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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.