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Finding the Fourth Proportional to 205.32, 283.26 and 135.42

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Solution

The fourth proportional to 205.32, 283.26 and 135.42 is: 186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 283.26 = 135.42 : x
  2. Step 2: Convert to fraction form
    205.32/283.26 = 135.42/x
  3. Step 3: Cross multiply
    205.32x = 283.26 × 135.42
  4. Step 4: Simplify right side
    205.32x = 38,357.65
  5. Step 5: Solve for x
    x = 38,357.65/205.32
  6. Step 6: Final answer
    x = 186.82

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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.