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Finding the Fourth Proportional to 224.03, 335.36 and 180.29

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Solution

The fourth proportional to 224.03, 335.36 and 180.29 is: 269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.03 : 335.36 = 180.29 : x
  2. Step 2: Convert to fraction form
    224.03/335.36 = 180.29/x
  3. Step 3: Cross multiply
    224.03x = 335.36 × 180.29
  4. Step 4: Simplify right side
    224.03x = 60,462.51
  5. Step 5: Solve for x
    x = 60,462.51/224.03
  6. Step 6: Final answer
    x = 269.89

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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.