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Finding the Fourth Proportional to 347.25, 520.20 and 200.81

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Solution

The fourth proportional to 347.25, 520.20 and 200.81 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.25 : 520.20 = 200.81 : x
  2. Step 2: Convert to fraction form
    347.25/520.20 = 200.81/x
  3. Step 3: Cross multiply
    347.25x = 520.20 × 200.81
  4. Step 4: Simplify right side
    347.25x = 104,458.76
  5. Step 5: Solve for x
    x = 104,458.76/347.25
  6. Step 6: Final answer
    x = 300.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.