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Finding the Fourth Proportional to 205.42, 283.14 and 146.44

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Solution

The fourth proportional to 205.42, 283.14 and 146.44 is: 201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 283.14 = 146.44 : x
  2. Step 2: Convert to fraction form
    205.42/283.14 = 146.44/x
  3. Step 3: Cross multiply
    205.42x = 283.14 × 146.44
  4. Step 4: Simplify right side
    205.42x = 41,463.02
  5. Step 5: Solve for x
    x = 41,463.02/205.42
  6. Step 6: Final answer
    x = 201.85

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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.