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Finding the Fourth Proportional to 371.14, 556.97 and 178.90

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Solution

The fourth proportional to 371.14, 556.97 and 178.90 is: 268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.14 : 556.97 = 178.90 : x
  2. Step 2: Convert to fraction form
    371.14/556.97 = 178.90/x
  3. Step 3: Cross multiply
    371.14x = 556.97 × 178.90
  4. Step 4: Simplify right side
    371.14x = 99,641.93
  5. Step 5: Solve for x
    x = 99,641.93/371.14
  6. Step 6: Final answer
    x = 268.48

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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.