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Finding the Fourth Proportional to 371.67, 557.30 and 206.89

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Solution

The fourth proportional to 371.67, 557.30 and 206.89 is: 310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.67 : 557.30 = 206.89 : x
  2. Step 2: Convert to fraction form
    371.67/557.30 = 206.89/x
  3. Step 3: Cross multiply
    371.67x = 557.30 × 206.89
  4. Step 4: Simplify right side
    371.67x = 115,298.92
  5. Step 5: Solve for x
    x = 115,298.92/371.67
  6. Step 6: Final answer
    x = 310.22

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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.