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Finding the Fourth Proportional to 283.26, 390.64 and 189.96

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Solution

The fourth proportional to 283.26, 390.64 and 189.96 is: 261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.26 : 390.64 = 189.96 : x
  2. Step 2: Convert to fraction form
    283.26/390.64 = 189.96/x
  3. Step 3: Cross multiply
    283.26x = 390.64 × 189.96
  4. Step 4: Simplify right side
    283.26x = 74,205.97
  5. Step 5: Solve for x
    x = 74,205.97/283.26
  6. Step 6: Final answer
    x = 261.97

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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.