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Finding the Fourth Proportional to 205.55, 283.41 and 146.46

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Solution

The fourth proportional to 205.55, 283.41 and 146.46 is: 201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.55 : 283.41 = 146.46 : x
  2. Step 2: Convert to fraction form
    205.55/283.41 = 146.46/x
  3. Step 3: Cross multiply
    205.55x = 283.41 × 146.46
  4. Step 4: Simplify right side
    205.55x = 41,508.23
  5. Step 5: Solve for x
    x = 41,508.23/205.55
  6. Step 6: Final answer
    x = 201.94

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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.