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Finding the Fourth Proportional to 154.14, 211.74 and 140.82

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Solution

The fourth proportional to 154.14, 211.74 and 140.82 is: 193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 211.74 = 140.82 : x
  2. Step 2: Convert to fraction form
    154.14/211.74 = 140.82/x
  3. Step 3: Cross multiply
    154.14x = 211.74 × 140.82
  4. Step 4: Simplify right side
    154.14x = 29,817.23
  5. Step 5: Solve for x
    x = 29,817.23/154.14
  6. Step 6: Final answer
    x = 193.44

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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.