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Finding the Fourth Proportional to 204.72, 282.90 and 161.40

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Solution

The fourth proportional to 204.72, 282.90 and 161.40 is: 223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.72 : 282.90 = 161.40 : x
  2. Step 2: Convert to fraction form
    204.72/282.90 = 161.40/x
  3. Step 3: Cross multiply
    204.72x = 282.90 × 161.40
  4. Step 4: Simplify right side
    204.72x = 45,660.06
  5. Step 5: Solve for x
    x = 45,660.06/204.72
  6. Step 6: Final answer
    x = 223.04

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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.