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Finding the Fourth Proportional to 224.61, 309.83 and 137.33

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Solution

The fourth proportional to 224.61, 309.83 and 137.33 is: 189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.61 : 309.83 = 137.33 : x
  2. Step 2: Convert to fraction form
    224.61/309.83 = 137.33/x
  3. Step 3: Cross multiply
    224.61x = 309.83 × 137.33
  4. Step 4: Simplify right side
    224.61x = 42,547.88
  5. Step 5: Solve for x
    x = 42,547.88/224.61
  6. Step 6: Final answer
    x = 189.43

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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.