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Finding the Fourth Proportional to 154.36, 212.78 and 144.01

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Solution

The fourth proportional to 154.36, 212.78 and 144.01 is: 198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 212.78 = 144.01 : x
  2. Step 2: Convert to fraction form
    154.36/212.78 = 144.01/x
  3. Step 3: Cross multiply
    154.36x = 212.78 × 144.01
  4. Step 4: Simplify right side
    154.36x = 30,640.66
  5. Step 5: Solve for x
    x = 30,640.66/154.36
  6. Step 6: Final answer
    x = 198.51

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Why These Related Problems?

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