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Finding the Fourth Proportional to 252.44, 347.46 and 210.52

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Solution

The fourth proportional to 252.44, 347.46 and 210.52 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.44 : 347.46 = 210.52 : x
  2. Step 2: Convert to fraction form
    252.44/347.46 = 210.52/x
  3. Step 3: Cross multiply
    252.44x = 347.46 × 210.52
  4. Step 4: Simplify right side
    252.44x = 73,147.28
  5. Step 5: Solve for x
    x = 73,147.28/252.44
  6. Step 6: Final answer
    x = 289.76

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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.