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Finding the Fourth Proportional to 154.21, 213.36 and 134.86

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Solution

The fourth proportional to 154.21, 213.36 and 134.86 is: 186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.21 : 213.36 = 134.86 : x
  2. Step 2: Convert to fraction form
    154.21/213.36 = 134.86/x
  3. Step 3: Cross multiply
    154.21x = 213.36 × 134.86
  4. Step 4: Simplify right side
    154.21x = 28,773.73
  5. Step 5: Solve for x
    x = 28,773.73/154.21
  6. Step 6: Final answer
    x = 186.59

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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.