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Finding the Fourth Proportional to 347.73, 520.84 and 164.85

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Solution

The fourth proportional to 347.73, 520.84 and 164.85 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.73 : 520.84 = 164.85 : x
  2. Step 2: Convert to fraction form
    347.73/520.84 = 164.85/x
  3. Step 3: Cross multiply
    347.73x = 520.84 × 164.85
  4. Step 4: Simplify right side
    347.73x = 85,860.47
  5. Step 5: Solve for x
    x = 85,860.47/347.73
  6. Step 6: Final answer
    x = 246.92

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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.