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Finding the Fourth Proportional to 175.28, 262.74 and 114.54

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Solution

The fourth proportional to 175.28, 262.74 and 114.54 is: 171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.28 : 262.74 = 114.54 : x
  2. Step 2: Convert to fraction form
    175.28/262.74 = 114.54/x
  3. Step 3: Cross multiply
    175.28x = 262.74 × 114.54
  4. Step 4: Simplify right side
    175.28x = 30,094.24
  5. Step 5: Solve for x
    x = 30,094.24/175.28
  6. Step 6: Final answer
    x = 171.69

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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.