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Finding the Fourth Proportional to 371.56, 556.31 and 188.56

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Solution

The fourth proportional to 371.56, 556.31 and 188.56 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.56 : 556.31 = 188.56 : x
  2. Step 2: Convert to fraction form
    371.56/556.31 = 188.56/x
  3. Step 3: Cross multiply
    371.56x = 556.31 × 188.56
  4. Step 4: Simplify right side
    371.56x = 104,896.87
  5. Step 5: Solve for x
    x = 104,896.87/371.56
  6. Step 6: Final answer
    x = 282.31

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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.