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Finding the Fourth Proportional to 252.72, 348.90 and 206.46

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Solution

The fourth proportional to 252.72, 348.90 and 206.46 is: 285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.72 : 348.90 = 206.46 : x
  2. Step 2: Convert to fraction form
    252.72/348.90 = 206.46/x
  3. Step 3: Cross multiply
    252.72x = 348.90 × 206.46
  4. Step 4: Simplify right side
    252.72x = 72,033.89
  5. Step 5: Solve for x
    x = 72,033.89/252.72
  6. Step 6: Final answer
    x = 285.03

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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.