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Finding the Fourth Proportional to 293.29, 404.71 and 162.28

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Solution

The fourth proportional to 293.29, 404.71 and 162.28 is: 223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.29 : 404.71 = 162.28 : x
  2. Step 2: Convert to fraction form
    293.29/404.71 = 162.28/x
  3. Step 3: Cross multiply
    293.29x = 404.71 × 162.28
  4. Step 4: Simplify right side
    293.29x = 65,676.44
  5. Step 5: Solve for x
    x = 65,676.44/293.29
  6. Step 6: Final answer
    x = 223.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.