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Finding the Fourth Proportional to 371.25, 556.92 and 188.55

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Solution

The fourth proportional to 371.25, 556.92 and 188.55 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.25 : 556.92 = 188.55 : x
  2. Step 2: Convert to fraction form
    371.25/556.92 = 188.55/x
  3. Step 3: Cross multiply
    371.25x = 556.92 × 188.55
  4. Step 4: Simplify right side
    371.25x = 105,007.27
  5. Step 5: Solve for x
    x = 105,007.27/371.25
  6. Step 6: Final answer
    x = 282.85

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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.