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Finding the Fourth Proportional to 371.66, 557.78 and 215.33

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Solution

The fourth proportional to 371.66, 557.78 and 215.33 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.66 : 557.78 = 215.33 : x
  2. Step 2: Convert to fraction form
    371.66/557.78 = 215.33/x
  3. Step 3: Cross multiply
    371.66x = 557.78 × 215.33
  4. Step 4: Simplify right side
    371.66x = 120,102.90
  5. Step 5: Solve for x
    x = 120,102.90/371.66
  6. Step 6: Final answer
    x = 323.16

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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.