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Finding the Fourth Proportional to 347.90, 480.08 and 200.54

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Solution

The fourth proportional to 347.90, 480.08 and 200.54 is: 276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.90 : 480.08 = 200.54 : x
  2. Step 2: Convert to fraction form
    347.90/480.08 = 200.54/x
  3. Step 3: Cross multiply
    347.90x = 480.08 × 200.54
  4. Step 4: Simplify right side
    347.90x = 96,275.24
  5. Step 5: Solve for x
    x = 96,275.24/347.90
  6. Step 6: Final answer
    x = 276.73

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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.