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Finding the Fourth Proportional to 252.72, 348.44 and 206.04

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Solution

The fourth proportional to 252.72, 348.44 and 206.04 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.72 : 348.44 = 206.04 : x
  2. Step 2: Convert to fraction form
    252.72/348.44 = 206.04/x
  3. Step 3: Cross multiply
    252.72x = 348.44 × 206.04
  4. Step 4: Simplify right side
    252.72x = 71,792.85
  5. Step 5: Solve for x
    x = 71,792.85/252.72
  6. Step 6: Final answer
    x = 284.08

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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.