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Finding the Fourth Proportional to 252.53, 348.32 and 205.90

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Solution

The fourth proportional to 252.53, 348.32 and 205.90 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.53 : 348.32 = 205.90 : x
  2. Step 2: Convert to fraction form
    252.53/348.32 = 205.90/x
  3. Step 3: Cross multiply
    252.53x = 348.32 × 205.90
  4. Step 4: Simplify right side
    252.53x = 71,718.06
  5. Step 5: Solve for x
    x = 71,718.06/252.53
  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.