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Finding the Fourth Proportional to 507.92, 761.94 and 161.16

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Solution

The fourth proportional to 507.92, 761.94 and 161.16 is: 241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.92 : 761.94 = 161.16 : x
  2. Step 2: Convert to fraction form
    507.92/761.94 = 161.16/x
  3. Step 3: Cross multiply
    507.92x = 761.94 × 161.16
  4. Step 4: Simplify right side
    507.92x = 122,794.25
  5. Step 5: Solve for x
    x = 122,794.25/507.92
  6. Step 6: Final answer
    x = 241.76

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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.