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Finding the Fourth Proportional to 507.87, 761.99 and 161.26

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Solution

The fourth proportional to 507.87, 761.99 and 161.26 is: 241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.87 : 761.99 = 161.26 : x
  2. Step 2: Convert to fraction form
    507.87/761.99 = 161.26/x
  3. Step 3: Cross multiply
    507.87x = 761.99 × 161.26
  4. Step 4: Simplify right side
    507.87x = 122,875.80
  5. Step 5: Solve for x
    x = 122,875.80/507.87
  6. Step 6: Final answer
    x = 241.94

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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.