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Finding the Fourth Proportional to 224.14, 309.42 and 177.37

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Solution

The fourth proportional to 224.14, 309.42 and 177.37 is: 244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.14 : 309.42 = 177.37 : x
  2. Step 2: Convert to fraction form
    224.14/309.42 = 177.37/x
  3. Step 3: Cross multiply
    224.14x = 309.42 × 177.37
  4. Step 4: Simplify right side
    224.14x = 54,881.83
  5. Step 5: Solve for x
    x = 54,881.83/224.14
  6. Step 6: Final answer
    x = 244.86

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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.