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Finding the Fourth Proportional to 371.20, 556.64 and 178.88

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Solution

The fourth proportional to 371.20, 556.64 and 178.88 is: 268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.20 : 556.64 = 178.88 : x
  2. Step 2: Convert to fraction form
    371.20/556.64 = 178.88/x
  3. Step 3: Cross multiply
    371.20x = 556.64 × 178.88
  4. Step 4: Simplify right side
    371.20x = 99,571.76
  5. Step 5: Solve for x
    x = 99,571.76/371.20
  6. Step 6: Final answer
    x = 268.24

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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.