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Finding the Fourth Proportional to 335.54, 502.67 and 173.33

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Solution

The fourth proportional to 335.54, 502.67 and 173.33 is: 259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.54 : 502.67 = 173.33 : x
  2. Step 2: Convert to fraction form
    335.54/502.67 = 173.33/x
  3. Step 3: Cross multiply
    335.54x = 502.67 × 173.33
  4. Step 4: Simplify right side
    335.54x = 87,124.41
  5. Step 5: Solve for x
    x = 87,124.41/335.54
  6. Step 6: Final answer
    x = 259.66

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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.