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Finding the Fourth Proportional to 213.54, 294.75 and 206.70

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Solution

The fourth proportional to 213.54, 294.75 and 206.70 is: 285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.54 : 294.75 = 206.70 : x
  2. Step 2: Convert to fraction form
    213.54/294.75 = 206.70/x
  3. Step 3: Cross multiply
    213.54x = 294.75 × 206.70
  4. Step 4: Simplify right side
    213.54x = 60,924.83
  5. Step 5: Solve for x
    x = 60,924.83/213.54
  6. Step 6: Final answer
    x = 285.31

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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.