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Finding the Fourth Proportional to 148.78, 222.81 and 121.42

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Solution

The fourth proportional to 148.78, 222.81 and 121.42 is: 181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.78 : 222.81 = 121.42 : x
  2. Step 2: Convert to fraction form
    148.78/222.81 = 121.42/x
  3. Step 3: Cross multiply
    148.78x = 222.81 × 121.42
  4. Step 4: Simplify right side
    148.78x = 27,053.59
  5. Step 5: Solve for x
    x = 27,053.59/148.78
  6. Step 6: Final answer
    x = 181.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.