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Finding the Fourth Proportional to 402.99, 604.26 and 159.24

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Solution

The fourth proportional to 402.99, 604.26 and 159.24 is: 238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.99 : 604.26 = 159.24 : x
  2. Step 2: Convert to fraction form
    402.99/604.26 = 159.24/x
  3. Step 3: Cross multiply
    402.99x = 604.26 × 159.24
  4. Step 4: Simplify right side
    402.99x = 96,222.36
  5. Step 5: Solve for x
    x = 96,222.36/402.99
  6. Step 6: Final answer
    x = 238.77

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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.