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Finding the Fourth Proportional to 222.76, 307.46 and 144.12

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Solution

The fourth proportional to 222.76, 307.46 and 144.12 is: 198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.76 : 307.46 = 144.12 : x
  2. Step 2: Convert to fraction form
    222.76/307.46 = 144.12/x
  3. Step 3: Cross multiply
    222.76x = 307.46 × 144.12
  4. Step 4: Simplify right side
    222.76x = 44,311.14
  5. Step 5: Solve for x
    x = 44,311.14/222.76
  6. Step 6: Final answer
    x = 198.92

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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.