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Finding the Fourth Proportional to 148.85, 222.18 and 130.63

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Solution

The fourth proportional to 148.85, 222.18 and 130.63 is: 194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.85 : 222.18 = 130.63 : x
  2. Step 2: Convert to fraction form
    148.85/222.18 = 130.63/x
  3. Step 3: Cross multiply
    148.85x = 222.18 × 130.63
  4. Step 4: Simplify right side
    148.85x = 29,021.61
  5. Step 5: Solve for x
    x = 29,021.61/148.85
  6. Step 6: Final answer
    x = 194.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.