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Finding the Fourth Proportional to 190.14, 284.73 and 154.14

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Solution

The fourth proportional to 190.14, 284.73 and 154.14 is: 230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.14 : 284.73 = 154.14 : x
  2. Step 2: Convert to fraction form
    190.14/284.73 = 154.14/x
  3. Step 3: Cross multiply
    190.14x = 284.73 × 154.14
  4. Step 4: Simplify right side
    190.14x = 43,888.28
  5. Step 5: Solve for x
    x = 43,888.28/190.14
  6. Step 6: Final answer
    x = 230.82

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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.