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Finding the Fourth Proportional to 224.67, 309.90 and 189.93

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Solution

The fourth proportional to 224.67, 309.90 and 189.93 is: 261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.67 : 309.90 = 189.93 : x
  2. Step 2: Convert to fraction form
    224.67/309.90 = 189.93/x
  3. Step 3: Cross multiply
    224.67x = 309.90 × 189.93
  4. Step 4: Simplify right side
    224.67x = 58,859.31
  5. Step 5: Solve for x
    x = 58,859.31/224.67
  6. Step 6: Final answer
    x = 261.98

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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.