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Finding the Fourth Proportional to 204.93, 282.78 and 117.54

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Solution

The fourth proportional to 204.93, 282.78 and 117.54 is: 162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.93 : 282.78 = 117.54 : x
  2. Step 2: Convert to fraction form
    204.93/282.78 = 117.54/x
  3. Step 3: Cross multiply
    204.93x = 282.78 × 117.54
  4. Step 4: Simplify right side
    204.93x = 33,237.96
  5. Step 5: Solve for x
    x = 33,237.96/204.93
  6. Step 6: Final answer
    x = 162.19

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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.