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Finding the Fourth Proportional to 371.37, 512.55 and 224.08

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Solution

The fourth proportional to 371.37, 512.55 and 224.08 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.37 : 512.55 = 224.08 : x
  2. Step 2: Convert to fraction form
    371.37/512.55 = 224.08/x
  3. Step 3: Cross multiply
    371.37x = 512.55 × 224.08
  4. Step 4: Simplify right side
    371.37x = 114,852.20
  5. Step 5: Solve for x
    x = 114,852.20/371.37
  6. Step 6: Final answer
    x = 309.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.