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Finding the Fourth Proportional to 174.94, 262.50 and 165.76

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Solution

The fourth proportional to 174.94, 262.50 and 165.76 is: 248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.94 : 262.50 = 165.76 : x
  2. Step 2: Convert to fraction form
    174.94/262.50 = 165.76/x
  3. Step 3: Cross multiply
    174.94x = 262.50 × 165.76
  4. Step 4: Simplify right side
    174.94x = 43,512
  5. Step 5: Solve for x
    x = 43,512/174.94
  6. Step 6: Final answer
    x = 248.73

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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.