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Finding the Fourth Proportional to 205.31, 283.42 and 135.41

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Solution

The fourth proportional to 205.31, 283.42 and 135.41 is: 186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 283.42 = 135.41 : x
  2. Step 2: Convert to fraction form
    205.31/283.42 = 135.41/x
  3. Step 3: Cross multiply
    205.31x = 283.42 × 135.41
  4. Step 4: Simplify right side
    205.31x = 38,375.81
  5. Step 5: Solve for x
    x = 38,375.81/205.31
  6. Step 6: Final answer
    x = 186.92

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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.