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Finding the Fourth Proportional to 222.17, 306.65 and 144.41

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Solution

The fourth proportional to 222.17, 306.65 and 144.41 is: 199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.17 : 306.65 = 144.41 : x
  2. Step 2: Convert to fraction form
    222.17/306.65 = 144.41/x
  3. Step 3: Cross multiply
    222.17x = 306.65 × 144.41
  4. Step 4: Simplify right side
    222.17x = 44,283.33
  5. Step 5: Solve for x
    x = 44,283.33/222.17
  6. Step 6: Final answer
    x = 199.32

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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.