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Finding the Fourth Proportional to 252.23, 347.40 and 205.52

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Solution

The fourth proportional to 252.23, 347.40 and 205.52 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.23 : 347.40 = 205.52 : x
  2. Step 2: Convert to fraction form
    252.23/347.40 = 205.52/x
  3. Step 3: Cross multiply
    252.23x = 347.40 × 205.52
  4. Step 4: Simplify right side
    252.23x = 71,395.91
  5. Step 5: Solve for x
    x = 71,395.91/252.23
  6. Step 6: Final answer
    x = 283.06

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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.