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Finding the Fourth Proportional to 371.58, 556.38 and 197.88

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Solution

The fourth proportional to 371.58, 556.38 and 197.88 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.58 : 556.38 = 197.88 : x
  2. Step 2: Convert to fraction form
    371.58/556.38 = 197.88/x
  3. Step 3: Cross multiply
    371.58x = 556.38 × 197.88
  4. Step 4: Simplify right side
    371.58x = 110,096.47
  5. Step 5: Solve for x
    x = 110,096.47/371.58
  6. Step 6: Final answer
    x = 296.29

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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.