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Finding the Fourth Proportional to 259.43, 357.24 and 224.40

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Solution

The fourth proportional to 259.43, 357.24 and 224.40 is: 308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.43 : 357.24 = 224.40 : x
  2. Step 2: Convert to fraction form
    259.43/357.24 = 224.40/x
  3. Step 3: Cross multiply
    259.43x = 357.24 × 224.40
  4. Step 4: Simplify right side
    259.43x = 80,161.75
  5. Step 5: Solve for x
    x = 80,161.75/259.43
  6. Step 6: Final answer
    x = 308.99

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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.