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Finding the Fourth Proportional to 190.65, 284.67 and 154.20

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Solution

The fourth proportional to 190.65, 284.67 and 154.20 is: 230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.65 : 284.67 = 154.20 : x
  2. Step 2: Convert to fraction form
    190.65/284.67 = 154.20/x
  3. Step 3: Cross multiply
    190.65x = 284.67 × 154.20
  4. Step 4: Simplify right side
    190.65x = 43,896.11
  5. Step 5: Solve for x
    x = 43,896.11/190.65
  6. Step 6: Final answer
    x = 230.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.