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Finding the Fourth Proportional to 224.36, 309.65 and 149.66

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Solution

The fourth proportional to 224.36, 309.65 and 149.66 is: 206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.36 : 309.65 = 149.66 : x
  2. Step 2: Convert to fraction form
    224.36/309.65 = 149.66/x
  3. Step 3: Cross multiply
    224.36x = 309.65 × 149.66
  4. Step 4: Simplify right side
    224.36x = 46,339.92
  5. Step 5: Solve for x
    x = 46,339.92/224.36
  6. Step 6: Final answer
    x = 206.55

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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.