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Finding the Fourth Proportional to 205.33, 283.36 and 118

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Solution

The fourth proportional to 205.33, 283.36 and 118 is: 162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.33 : 283.36 = 118 : x
  2. Step 2: Convert to fraction form
    205.33/283.36 = 118/x
  3. Step 3: Cross multiply
    205.33x = 283.36 × 118
  4. Step 4: Simplify right side
    205.33x = 33,436.48
  5. Step 5: Solve for x
    x = 33,436.48/205.33
  6. Step 6: Final answer
    x = 162.84

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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.