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Finding the Fourth Proportional to 252.81, 348.58 and 206.09

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Solution

The fourth proportional to 252.81, 348.58 and 206.09 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.81 : 348.58 = 206.09 : x
  2. Step 2: Convert to fraction form
    252.81/348.58 = 206.09/x
  3. Step 3: Cross multiply
    252.81x = 348.58 × 206.09
  4. Step 4: Simplify right side
    252.81x = 71,838.85
  5. Step 5: Solve for x
    x = 71,838.85/252.81
  6. Step 6: Final answer
    x = 284.16

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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.