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Finding the Fourth Proportional to 148.78, 222.85 and 108.42

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Solution

The fourth proportional to 148.78, 222.85 and 108.42 is: 162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.78 : 222.85 = 108.42 : x
  2. Step 2: Convert to fraction form
    148.78/222.85 = 108.42/x
  3. Step 3: Cross multiply
    148.78x = 222.85 × 108.42
  4. Step 4: Simplify right side
    148.78x = 24,161.40
  5. Step 5: Solve for x
    x = 24,161.40/148.78
  6. Step 6: Final answer
    x = 162.40

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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.