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Finding the Fourth Proportional to 224.54, 335.23 and 189.93

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Solution

The fourth proportional to 224.54, 335.23 and 189.93 is: 283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.54 : 335.23 = 189.93 : x
  2. Step 2: Convert to fraction form
    224.54/335.23 = 189.93/x
  3. Step 3: Cross multiply
    224.54x = 335.23 × 189.93
  4. Step 4: Simplify right side
    224.54x = 63,671.02
  5. Step 5: Solve for x
    x = 63,671.02/224.54
  6. Step 6: Final answer
    x = 283.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.