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Finding the Fourth Proportional to 190.31, 285.30 and 129.56

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Solution

The fourth proportional to 190.31, 285.30 and 129.56 is: 194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.31 : 285.30 = 129.56 : x
  2. Step 2: Convert to fraction form
    190.31/285.30 = 129.56/x
  3. Step 3: Cross multiply
    190.31x = 285.30 × 129.56
  4. Step 4: Simplify right side
    190.31x = 36,962.04
  5. Step 5: Solve for x
    x = 36,962.04/190.31
  6. Step 6: Final answer
    x = 194.23

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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.