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Finding the Fourth Proportional to 190.56, 284.40 and 189.30

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Solution

The fourth proportional to 190.56, 284.40 and 189.30 is: 282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.56 : 284.40 = 189.30 : x
  2. Step 2: Convert to fraction form
    190.56/284.40 = 189.30/x
  3. Step 3: Cross multiply
    190.56x = 284.40 × 189.30
  4. Step 4: Simplify right side
    190.56x = 53,836.92
  5. Step 5: Solve for x
    x = 53,836.92/190.56
  6. Step 6: Final answer
    x = 282.52

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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.