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Finding the Fourth Proportional to 224.00, 335.85 and 159.00

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Solution

The fourth proportional to 224.00, 335.85 and 159.00 is: 238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.00 : 335.85 = 159.00 : x
  2. Step 2: Convert to fraction form
    224.00/335.85 = 159.00/x
  3. Step 3: Cross multiply
    224.00x = 335.85 × 159.00
  4. Step 4: Simplify right side
    224.00x = 53,398.29
  5. Step 5: Solve for x
    x = 53,398.29/224.00
  6. Step 6: Final answer
    x = 238.39

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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.