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Finding the Fourth Proportional to 371.06, 556.58 and 165.58

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Solution

The fourth proportional to 371.06, 556.58 and 165.58 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.06 : 556.58 = 165.58 : x
  2. Step 2: Convert to fraction form
    371.06/556.58 = 165.58/x
  3. Step 3: Cross multiply
    371.06x = 556.58 × 165.58
  4. Step 4: Simplify right side
    371.06x = 92,157.54
  5. Step 5: Solve for x
    x = 92,157.54/371.06
  6. Step 6: Final answer
    x = 248.37

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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.