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Finding the Fourth Proportional to 371.59, 557.07 and 140.35

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Solution

The fourth proportional to 371.59, 557.07 and 140.35 is: 210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.59 : 557.07 = 140.35 : x
  2. Step 2: Convert to fraction form
    371.59/557.07 = 140.35/x
  3. Step 3: Cross multiply
    371.59x = 557.07 × 140.35
  4. Step 4: Simplify right side
    371.59x = 78,183.90
  5. Step 5: Solve for x
    x = 78,183.90/371.59
  6. Step 6: Final answer
    x = 210.41

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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.