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Finding the Fourth Proportional to 371.35, 557.08 and 127.82

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Solution

The fourth proportional to 371.35, 557.08 and 127.82 is: 191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.35 : 557.08 = 127.82 : x
  2. Step 2: Convert to fraction form
    371.35/557.08 = 127.82/x
  3. Step 3: Cross multiply
    371.35x = 557.08 × 127.82
  4. Step 4: Simplify right side
    371.35x = 71,203.18
  5. Step 5: Solve for x
    x = 71,203.18/371.35
  6. Step 6: Final answer
    x = 191.74

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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.