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Finding the Fourth Proportional to 283.64, 425.26 and 137.42

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Solution

The fourth proportional to 283.64, 425.26 and 137.42 is: 206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.64 : 425.26 = 137.42 : x
  2. Step 2: Convert to fraction form
    283.64/425.26 = 137.42/x
  3. Step 3: Cross multiply
    283.64x = 425.26 × 137.42
  4. Step 4: Simplify right side
    283.64x = 58,439.23
  5. Step 5: Solve for x
    x = 58,439.23/283.64
  6. Step 6: Final answer
    x = 206.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.