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Finding the Fourth Proportional to 283.87, 391.64 and 189.30

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Solution

The fourth proportional to 283.87, 391.64 and 189.30 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.87 : 391.64 = 189.30 : x
  2. Step 2: Convert to fraction form
    283.87/391.64 = 189.30/x
  3. Step 3: Cross multiply
    283.87x = 391.64 × 189.30
  4. Step 4: Simplify right side
    283.87x = 74,137.97
  5. Step 5: Solve for x
    x = 74,137.97/283.87
  6. Step 6: Final answer
    x = 261.17

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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.