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Finding the Fourth Proportional to 371.22, 557.91 and 178.98

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Solution

The fourth proportional to 371.22, 557.91 and 178.98 is: 268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.22 : 557.91 = 178.98 : x
  2. Step 2: Convert to fraction form
    371.22/557.91 = 178.98/x
  3. Step 3: Cross multiply
    371.22x = 557.91 × 178.98
  4. Step 4: Simplify right side
    371.22x = 99,854.73
  5. Step 5: Solve for x
    x = 99,854.73/371.22
  6. Step 6: Final answer
    x = 268.99

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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.