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Finding the Fourth Proportional to 252.54, 347.00 and 200.70

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Solution

The fourth proportional to 252.54, 347.00 and 200.70 is: 275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 347.00 = 200.70 : x
  2. Step 2: Convert to fraction form
    252.54/347.00 = 200.70/x
  3. Step 3: Cross multiply
    252.54x = 347.00 × 200.70
  4. Step 4: Simplify right side
    252.54x = 69,641.90
  5. Step 5: Solve for x
    x = 69,641.90/252.54
  6. Step 6: Final answer
    x = 275.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.