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Finding the Fourth Proportional to 371.68, 512.91 and 203.63

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Solution

The fourth proportional to 371.68, 512.91 and 203.63 is: 281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.68 : 512.91 = 203.63 : x
  2. Step 2: Convert to fraction form
    371.68/512.91 = 203.63/x
  3. Step 3: Cross multiply
    371.68x = 512.91 × 203.63
  4. Step 4: Simplify right side
    371.68x = 104,441.30
  5. Step 5: Solve for x
    x = 104,441.30/371.68
  6. Step 6: Final answer
    x = 281.00

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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.