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Finding the Fourth Proportional to 224.36, 309.82 and 150.80

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Solution

The fourth proportional to 224.36, 309.82 and 150.80 is: 208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.36 : 309.82 = 150.80 : x
  2. Step 2: Convert to fraction form
    224.36/309.82 = 150.80/x
  3. Step 3: Cross multiply
    224.36x = 309.82 × 150.80
  4. Step 4: Simplify right side
    224.36x = 46,720.86
  5. Step 5: Solve for x
    x = 46,720.86/224.36
  6. Step 6: Final answer
    x = 208.24

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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.