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Finding the Fourth Proportional to 224.49, 309.96 and 141.66

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Solution

The fourth proportional to 224.49, 309.96 and 141.66 is: 195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.49 : 309.96 = 141.66 : x
  2. Step 2: Convert to fraction form
    224.49/309.96 = 141.66/x
  3. Step 3: Cross multiply
    224.49x = 309.96 × 141.66
  4. Step 4: Simplify right side
    224.49x = 43,908.93
  5. Step 5: Solve for x
    x = 43,908.93/224.49
  6. Step 6: Final answer
    x = 195.59

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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.