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Finding the Fourth Proportional to 205.39, 283.54 and 140.24

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Solution

The fourth proportional to 205.39, 283.54 and 140.24 is: 193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.39 : 283.54 = 140.24 : x
  2. Step 2: Convert to fraction form
    205.39/283.54 = 140.24/x
  3. Step 3: Cross multiply
    205.39x = 283.54 × 140.24
  4. Step 4: Simplify right side
    205.39x = 39,762.23
  5. Step 5: Solve for x
    x = 39,762.23/205.39
  6. Step 6: Final answer
    x = 193.59

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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.