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Finding the Fourth Proportional to 205.23, 283.26 and 117.96

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Solution

The fourth proportional to 205.23, 283.26 and 117.96 is: 162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.23 : 283.26 = 117.96 : x
  2. Step 2: Convert to fraction form
    205.23/283.26 = 117.96/x
  3. Step 3: Cross multiply
    205.23x = 283.26 × 117.96
  4. Step 4: Simplify right side
    205.23x = 33,411.34
  5. Step 5: Solve for x
    x = 33,411.34/205.23
  6. Step 6: Final answer
    x = 162.80

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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.