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Finding the Fourth Proportional to 347.66, 520.64 and 182.82

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Solution

The fourth proportional to 347.66, 520.64 and 182.82 is: 273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.66 : 520.64 = 182.82 : x
  2. Step 2: Convert to fraction form
    347.66/520.64 = 182.82/x
  3. Step 3: Cross multiply
    347.66x = 520.64 × 182.82
  4. Step 4: Simplify right side
    347.66x = 95,183.40
  5. Step 5: Solve for x
    x = 95,183.40/347.66
  6. Step 6: Final answer
    x = 273.78

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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.