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Finding the Fourth Proportional to 173.94, 262.22 and 149.76

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Solution

The fourth proportional to 173.94, 262.22 and 149.76 is: 225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.94 : 262.22 = 149.76 : x
  2. Step 2: Convert to fraction form
    173.94/262.22 = 149.76/x
  3. Step 3: Cross multiply
    173.94x = 262.22 × 149.76
  4. Step 4: Simplify right side
    173.94x = 39,270.07
  5. Step 5: Solve for x
    x = 39,270.07/173.94
  6. Step 6: Final answer
    x = 225.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.