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Finding the Fourth Proportional to 283.36, 391.02 and 159

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Solution

The fourth proportional to 283.36, 391.02 and 159 is: 219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.36 : 391.02 = 159 : x
  2. Step 2: Convert to fraction form
    283.36/391.02 = 159/x
  3. Step 3: Cross multiply
    283.36x = 391.02 × 159
  4. Step 4: Simplify right side
    283.36x = 62,172.18
  5. Step 5: Solve for x
    x = 62,172.18/283.36
  6. Step 6: Final answer
    x = 219.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.