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Finding the Fourth Proportional to 224.94, 309.50 and 219.76

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Solution

The fourth proportional to 224.94, 309.50 and 219.76 is: 302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.94 : 309.50 = 219.76 : x
  2. Step 2: Convert to fraction form
    224.94/309.50 = 219.76/x
  3. Step 3: Cross multiply
    224.94x = 309.50 × 219.76
  4. Step 4: Simplify right side
    224.94x = 68,015.72
  5. Step 5: Solve for x
    x = 68,015.72/224.94
  6. Step 6: Final answer
    x = 302.37

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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.