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Finding the Fourth Proportional to 252.32, 348.24 and 206.24

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Solution

The fourth proportional to 252.32, 348.24 and 206.24 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 348.24 = 206.24 : x
  2. Step 2: Convert to fraction form
    252.32/348.24 = 206.24/x
  3. Step 3: Cross multiply
    252.32x = 348.24 × 206.24
  4. Step 4: Simplify right side
    252.32x = 71,821.02
  5. Step 5: Solve for x
    x = 71,821.02/252.32
  6. Step 6: Final answer
    x = 284.64

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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.