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Finding the Fourth Proportional to 175.97, 262.57 and 174.95

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Solution

The fourth proportional to 175.97, 262.57 and 174.95 is: 261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.97 : 262.57 = 174.95 : x
  2. Step 2: Convert to fraction form
    175.97/262.57 = 174.95/x
  3. Step 3: Cross multiply
    175.97x = 262.57 × 174.95
  4. Step 4: Simplify right side
    175.97x = 45,935.75
  5. Step 5: Solve for x
    x = 45,935.75/175.97
  6. Step 6: Final answer
    x = 261.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.