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Finding the Fourth Proportional to 252.24, 348.32 and 202.96

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Solution

The fourth proportional to 252.24, 348.32 and 202.96 is: 280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.24 : 348.32 = 202.96 : x
  2. Step 2: Convert to fraction form
    252.24/348.32 = 202.96/x
  3. Step 3: Cross multiply
    252.24x = 348.32 × 202.96
  4. Step 4: Simplify right side
    252.24x = 70,695.03
  5. Step 5: Solve for x
    x = 70,695.03/252.24
  6. Step 6: Final answer
    x = 280.27

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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.