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Finding the Fourth Proportional to 222.84, 307.46 and 149.20

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Solution

The fourth proportional to 222.84, 307.46 and 149.20 is: 205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.84 : 307.46 = 149.20 : x
  2. Step 2: Convert to fraction form
    222.84/307.46 = 149.20/x
  3. Step 3: Cross multiply
    222.84x = 307.46 × 149.20
  4. Step 4: Simplify right side
    222.84x = 45,872.64
  5. Step 5: Solve for x
    x = 45,872.64/222.84
  6. Step 6: Final answer
    x = 205.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.