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Finding the Fourth Proportional to 204.74, 282.54 and 161.00

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Solution

The fourth proportional to 204.74, 282.54 and 161.00 is: 222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.74 : 282.54 = 161.00 : x
  2. Step 2: Convert to fraction form
    204.74/282.54 = 161.00/x
  3. Step 3: Cross multiply
    204.74x = 282.54 × 161.00
  4. Step 4: Simplify right side
    204.74x = 45,487.53
  5. Step 5: Solve for x
    x = 45,487.53/204.74
  6. Step 6: Final answer
    x = 222.18

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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.