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Finding the Fourth Proportional to 252.40, 348.04 and 205.96

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Solution

The fourth proportional to 252.40, 348.04 and 205.96 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.40 : 348.04 = 205.96 : x
  2. Step 2: Convert to fraction form
    252.40/348.04 = 205.96/x
  3. Step 3: Cross multiply
    252.40x = 348.04 × 205.96
  4. Step 4: Simplify right side
    252.40x = 71,682.32
  5. Step 5: Solve for x
    x = 71,682.32/252.40
  6. Step 6: Final answer
    x = 284.00

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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.