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Finding the Fourth Proportional to 235.45, 324.77 and 173.44

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Solution

The fourth proportional to 235.45, 324.77 and 173.44 is: 239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.45 : 324.77 = 173.44 : x
  2. Step 2: Convert to fraction form
    235.45/324.77 = 173.44/x
  3. Step 3: Cross multiply
    235.45x = 324.77 × 173.44
  4. Step 4: Simplify right side
    235.45x = 56,327.73
  5. Step 5: Solve for x
    x = 56,327.73/235.45
  6. Step 6: Final answer
    x = 239.24

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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.