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Finding the Fourth Proportional to 144.45, 217.67 and 130.78

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Solution

The fourth proportional to 144.45, 217.67 and 130.78 is: 197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.45 : 217.67 = 130.78 : x
  2. Step 2: Convert to fraction form
    144.45/217.67 = 130.78/x
  3. Step 3: Cross multiply
    144.45x = 217.67 × 130.78
  4. Step 4: Simplify right side
    144.45x = 28,466.04
  5. Step 5: Solve for x
    x = 28,466.04/144.45
  6. Step 6: Final answer
    x = 197.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.