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Finding the Fourth Proportional to 205.54, 283.47 and 142.50

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Solution

The fourth proportional to 205.54, 283.47 and 142.50 is: 196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.54 : 283.47 = 142.50 : x
  2. Step 2: Convert to fraction form
    205.54/283.47 = 142.50/x
  3. Step 3: Cross multiply
    205.54x = 283.47 × 142.50
  4. Step 4: Simplify right side
    205.54x = 40,394.48
  5. Step 5: Solve for x
    x = 40,394.48/205.54
  6. Step 6: Final answer
    x = 196.53

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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.