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Finding the Fourth Proportional to 224.09, 309.16 and 136.73

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Solution

The fourth proportional to 224.09, 309.16 and 136.73 is: 188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.09 : 309.16 = 136.73 : x
  2. Step 2: Convert to fraction form
    224.09/309.16 = 136.73/x
  3. Step 3: Cross multiply
    224.09x = 309.16 × 136.73
  4. Step 4: Simplify right side
    224.09x = 42,271.45
  5. Step 5: Solve for x
    x = 42,271.45/224.09
  6. Step 6: Final answer
    x = 188.64

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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.