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Finding the Fourth Proportional to 224.39, 309.55 and 185.11

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Solution

The fourth proportional to 224.39, 309.55 and 185.11 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.39 : 309.55 = 185.11 : x
  2. Step 2: Convert to fraction form
    224.39/309.55 = 185.11/x
  3. Step 3: Cross multiply
    224.39x = 309.55 × 185.11
  4. Step 4: Simplify right side
    224.39x = 57,300.80
  5. Step 5: Solve for x
    x = 57,300.80/224.39
  6. Step 6: Final answer
    x = 255.36

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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.