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Finding the Fourth Proportional to 252.99, 348.73 and 206.19

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Solution

The fourth proportional to 252.99, 348.73 and 206.19 is: 284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.99 : 348.73 = 206.19 : x
  2. Step 2: Convert to fraction form
    252.99/348.73 = 206.19/x
  3. Step 3: Cross multiply
    252.99x = 348.73 × 206.19
  4. Step 4: Simplify right side
    252.99x = 71,904.64
  5. Step 5: Solve for x
    x = 71,904.64/252.99
  6. Step 6: Final answer
    x = 284.22

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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.