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Finding the Fourth Proportional to 402.99, 604.82 and 159.68

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Solution

The fourth proportional to 402.99, 604.82 and 159.68 is: 239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.99 : 604.82 = 159.68 : x
  2. Step 2: Convert to fraction form
    402.99/604.82 = 159.68/x
  3. Step 3: Cross multiply
    402.99x = 604.82 × 159.68
  4. Step 4: Simplify right side
    402.99x = 96,577.66
  5. Step 5: Solve for x
    x = 96,577.66/402.99
  6. Step 6: Final answer
    x = 239.65

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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.