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Finding the Fourth Proportional to 351.92, 527.96 and 120.81

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Solution

The fourth proportional to 351.92, 527.96 and 120.81 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.92 : 527.96 = 120.81 : x
  2. Step 2: Convert to fraction form
    351.92/527.96 = 120.81/x
  3. Step 3: Cross multiply
    351.92x = 527.96 × 120.81
  4. Step 4: Simplify right side
    351.92x = 63,782.24
  5. Step 5: Solve for x
    x = 63,782.24/351.92
  6. Step 6: Final answer
    x = 181.24

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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.