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Finding the Fourth Proportional to 371.24, 556.08 and 255.14

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Solution

The fourth proportional to 371.24, 556.08 and 255.14 is: 382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.24 : 556.08 = 255.14 : x
  2. Step 2: Convert to fraction form
    371.24/556.08 = 255.14/x
  3. Step 3: Cross multiply
    371.24x = 556.08 × 255.14
  4. Step 4: Simplify right side
    371.24x = 141,878.25
  5. Step 5: Solve for x
    x = 141,878.25/371.24
  6. Step 6: Final answer
    x = 382.17

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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.