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Finding the Fourth Proportional to 175.95, 263.52 and 164.61

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Solution

The fourth proportional to 175.95, 263.52 and 164.61 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.95 : 263.52 = 164.61 : x
  2. Step 2: Convert to fraction form
    175.95/263.52 = 164.61/x
  3. Step 3: Cross multiply
    175.95x = 263.52 × 164.61
  4. Step 4: Simplify right side
    175.95x = 43,378.03
  5. Step 5: Solve for x
    x = 43,378.03/175.95
  6. Step 6: Final answer
    x = 246.54

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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.