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Finding the Fourth Proportional to 283.26, 391.08 and 220.98

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Solution

The fourth proportional to 283.26, 391.08 and 220.98 is: 305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.26 : 391.08 = 220.98 : x
  2. Step 2: Convert to fraction form
    283.26/391.08 = 220.98/x
  3. Step 3: Cross multiply
    283.26x = 391.08 × 220.98
  4. Step 4: Simplify right side
    283.26x = 86,420.86
  5. Step 5: Solve for x
    x = 86,420.86/283.26
  6. Step 6: Final answer
    x = 305.09

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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.