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Finding the Fourth Proportional to 224.47, 309.83 and 134.81

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Solution

The fourth proportional to 224.47, 309.83 and 134.81 is: 186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.47 : 309.83 = 134.81 : x
  2. Step 2: Convert to fraction form
    224.47/309.83 = 134.81/x
  3. Step 3: Cross multiply
    224.47x = 309.83 × 134.81
  4. Step 4: Simplify right side
    224.47x = 41,765.96
  5. Step 5: Solve for x
    x = 41,765.96/224.47
  6. Step 6: Final answer
    x = 186.07

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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.