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Finding the Fourth Proportional to 371.26, 556.81 and 165.72

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Solution

The fourth proportional to 371.26, 556.81 and 165.72 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.26 : 556.81 = 165.72 : x
  2. Step 2: Convert to fraction form
    371.26/556.81 = 165.72/x
  3. Step 3: Cross multiply
    371.26x = 556.81 × 165.72
  4. Step 4: Simplify right side
    371.26x = 92,274.55
  5. Step 5: Solve for x
    x = 92,274.55/371.26
  6. Step 6: Final answer
    x = 248.54

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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.