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Finding the Fourth Proportional to 154.42, 212.95 and 138.22

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Solution

The fourth proportional to 154.42, 212.95 and 138.22 is: 190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.42 : 212.95 = 138.22 : x
  2. Step 2: Convert to fraction form
    154.42/212.95 = 138.22/x
  3. Step 3: Cross multiply
    154.42x = 212.95 × 138.22
  4. Step 4: Simplify right side
    154.42x = 29,433.95
  5. Step 5: Solve for x
    x = 29,433.95/154.42
  6. Step 6: Final answer
    x = 190.61

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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.