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Finding the Fourth Proportional to 224.63, 305.83 and 223.93

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Solution

The fourth proportional to 224.63, 305.83 and 223.93 is: 304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.63 : 305.83 = 223.93 : x
  2. Step 2: Convert to fraction form
    224.63/305.83 = 223.93/x
  3. Step 3: Cross multiply
    224.63x = 305.83 × 223.93
  4. Step 4: Simplify right side
    224.63x = 68,484.33
  5. Step 5: Solve for x
    x = 68,484.33/224.63
  6. Step 6: Final answer
    x = 304.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.