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Finding the Fourth Proportional to 371.75, 557.54 and 97.82

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Solution

The fourth proportional to 371.75, 557.54 and 97.82 is: 146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.75 : 557.54 = 97.82 : x
  2. Step 2: Convert to fraction form
    371.75/557.54 = 97.82/x
  3. Step 3: Cross multiply
    371.75x = 557.54 × 97.82
  4. Step 4: Simplify right side
    371.75x = 54,537.74
  5. Step 5: Solve for x
    x = 54,537.74/371.75
  6. Step 6: Final answer
    x = 146.71

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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.