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Finding the Fourth Proportional to 224.44, 309.58 and 159.08

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Solution

The fourth proportional to 224.44, 309.58 and 159.08 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.44 : 309.58 = 159.08 : x
  2. Step 2: Convert to fraction form
    224.44/309.58 = 159.08/x
  3. Step 3: Cross multiply
    224.44x = 309.58 × 159.08
  4. Step 4: Simplify right side
    224.44x = 49,247.99
  5. Step 5: Solve for x
    x = 49,247.99/224.44
  6. Step 6: Final answer
    x = 219.43

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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.