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Finding the Fourth Proportional to 371.02, 512.00 and 205.23

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Solution

The fourth proportional to 371.02, 512.00 and 205.23 is: 283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.02 : 512.00 = 205.23 : x
  2. Step 2: Convert to fraction form
    371.02/512.00 = 205.23/x
  3. Step 3: Cross multiply
    371.02x = 512.00 × 205.23
  4. Step 4: Simplify right side
    371.02x = 105,075.61
  5. Step 5: Solve for x
    x = 105,075.61/371.02
  6. Step 6: Final answer
    x = 283.20

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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.