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Finding the Fourth Proportional to 371.25, 557.07 and 151.83

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Solution

The fourth proportional to 371.25, 557.07 and 151.83 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.25 : 557.07 = 151.83 : x
  2. Step 2: Convert to fraction form
    371.25/557.07 = 151.83/x
  3. Step 3: Cross multiply
    371.25x = 557.07 × 151.83
  4. Step 4: Simplify right side
    371.25x = 84,579.94
  5. Step 5: Solve for x
    x = 84,579.94/371.25
  6. Step 6: Final answer
    x = 227.82

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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.