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Finding the Fourth Proportional to 173.73, 260.49 and 144

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Solution

The fourth proportional to 173.73, 260.49 and 144 is: 215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.73 : 260.49 = 144 : x
  2. Step 2: Convert to fraction form
    173.73/260.49 = 144/x
  3. Step 3: Cross multiply
    173.73x = 260.49 × 144
  4. Step 4: Simplify right side
    173.73x = 37,510.56
  5. Step 5: Solve for x
    x = 37,510.56/173.73
  6. Step 6: Final answer
    x = 215.91

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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.