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Finding the Fourth Proportional to 222.74, 307.43 and 144.14

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Solution

The fourth proportional to 222.74, 307.43 and 144.14 is: 198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.74 : 307.43 = 144.14 : x
  2. Step 2: Convert to fraction form
    222.74/307.43 = 144.14/x
  3. Step 3: Cross multiply
    222.74x = 307.43 × 144.14
  4. Step 4: Simplify right side
    222.74x = 44,314.01
  5. Step 5: Solve for x
    x = 44,314.01/222.74
  6. Step 6: Final answer
    x = 198.95

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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.