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Finding the Fourth Proportional to 371.06, 556.14 and 178.28

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Solution

The fourth proportional to 371.06, 556.14 and 178.28 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.06 : 556.14 = 178.28 : x
  2. Step 2: Convert to fraction form
    371.06/556.14 = 178.28/x
  3. Step 3: Cross multiply
    371.06x = 556.14 × 178.28
  4. Step 4: Simplify right side
    371.06x = 99,148.64
  5. Step 5: Solve for x
    x = 99,148.64/371.06
  6. Step 6: Final answer
    x = 267.20

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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.