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Finding the Fourth Proportional to 175.95, 263.49 and 142.74

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Solution

The fourth proportional to 175.95, 263.49 and 142.74 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.95 : 263.49 = 142.74 : x
  2. Step 2: Convert to fraction form
    175.95/263.49 = 142.74/x
  3. Step 3: Cross multiply
    175.95x = 263.49 × 142.74
  4. Step 4: Simplify right side
    175.95x = 37,610.56
  5. Step 5: Solve for x
    x = 37,610.56/175.95
  6. Step 6: Final answer
    x = 213.76

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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.