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Finding the Fourth Proportional to 233.20, 322 and 204.40

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Solution

The fourth proportional to 233.20, 322 and 204.40 is: 282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 322 = 204.40 : x
  2. Step 2: Convert to fraction form
    233.20/322 = 204.40/x
  3. Step 3: Cross multiply
    233.20x = 322 × 204.40
  4. Step 4: Simplify right side
    233.20x = 65,816.80
  5. Step 5: Solve for x
    x = 65,816.80/233.20
  6. Step 6: Final answer
    x = 282.23

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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.