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Finding the Fourth Proportional to 371.57, 557.34 and 97.66

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Solution

The fourth proportional to 371.57, 557.34 and 97.66 is: 146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.57 : 557.34 = 97.66 : x
  2. Step 2: Convert to fraction form
    371.57/557.34 = 97.66/x
  3. Step 3: Cross multiply
    371.57x = 557.34 × 97.66
  4. Step 4: Simplify right side
    371.57x = 54,429.82
  5. Step 5: Solve for x
    x = 54,429.82/371.57
  6. Step 6: Final answer
    x = 146.49

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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.