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Finding the Fourth Proportional to 224.71, 309.89 and 189.81

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Solution

The fourth proportional to 224.71, 309.89 and 189.81 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.71 : 309.89 = 189.81 : x
  2. Step 2: Convert to fraction form
    224.71/309.89 = 189.81/x
  3. Step 3: Cross multiply
    224.71x = 309.89 × 189.81
  4. Step 4: Simplify right side
    224.71x = 58,820.70
  5. Step 5: Solve for x
    x = 58,820.70/224.71
  6. Step 6: Final answer
    x = 261.77

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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.