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Finding the Fourth Proportional to 154.15, 230.81 and 127.42

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Solution

The fourth proportional to 154.15, 230.81 and 127.42 is: 190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.15 : 230.81 = 127.42 : x
  2. Step 2: Convert to fraction form
    154.15/230.81 = 127.42/x
  3. Step 3: Cross multiply
    154.15x = 230.81 × 127.42
  4. Step 4: Simplify right side
    154.15x = 29,409.81
  5. Step 5: Solve for x
    x = 29,409.81/154.15
  6. Step 6: Final answer
    x = 190.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.