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Finding the Fourth Proportional to 204.69, 282.54 and 182.82

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Solution

The fourth proportional to 204.69, 282.54 and 182.82 is: 252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.69 : 282.54 = 182.82 : x
  2. Step 2: Convert to fraction form
    204.69/282.54 = 182.82/x
  3. Step 3: Cross multiply
    204.69x = 282.54 × 182.82
  4. Step 4: Simplify right side
    204.69x = 51,653.96
  5. Step 5: Solve for x
    x = 51,653.96/204.69
  6. Step 6: Final answer
    x = 252.35

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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.