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Finding the Fourth Proportional to 173.94, 260.78 and 139.69

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Solution

The fourth proportional to 173.94, 260.78 and 139.69 is: 209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.94 : 260.78 = 139.69 : x
  2. Step 2: Convert to fraction form
    173.94/260.78 = 139.69/x
  3. Step 3: Cross multiply
    173.94x = 260.78 × 139.69
  4. Step 4: Simplify right side
    173.94x = 36,428.36
  5. Step 5: Solve for x
    x = 36,428.36/173.94
  6. Step 6: Final answer
    x = 209.43

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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.