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Finding the Fourth Proportional to 154.44, 211.95 and 138.15

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Solution

The fourth proportional to 154.44, 211.95 and 138.15 is: 189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.44 : 211.95 = 138.15 : x
  2. Step 2: Convert to fraction form
    154.44/211.95 = 138.15/x
  3. Step 3: Cross multiply
    154.44x = 211.95 × 138.15
  4. Step 4: Simplify right side
    154.44x = 29,280.89
  5. Step 5: Solve for x
    x = 29,280.89/154.44
  6. Step 6: Final answer
    x = 189.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.