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Finding the Fourth Proportional to 173.52, 261.54 and 149.76

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Solution

The fourth proportional to 173.52, 261.54 and 149.76 is: 225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.52 : 261.54 = 149.76 : x
  2. Step 2: Convert to fraction form
    173.52/261.54 = 149.76/x
  3. Step 3: Cross multiply
    173.52x = 261.54 × 149.76
  4. Step 4: Simplify right side
    173.52x = 39,168.23
  5. Step 5: Solve for x
    x = 39,168.23/173.52
  6. Step 6: Final answer
    x = 225.73

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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.