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Finding the Fourth Proportional to 190.34, 285.31 and 109.01

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Solution

The fourth proportional to 190.34, 285.31 and 109.01 is: 163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.34 : 285.31 = 109.01 : x
  2. Step 2: Convert to fraction form
    190.34/285.31 = 109.01/x
  3. Step 3: Cross multiply
    190.34x = 285.31 × 109.01
  4. Step 4: Simplify right side
    190.34x = 31,102.08
  5. Step 5: Solve for x
    x = 31,102.08/190.34
  6. Step 6: Final answer
    x = 163.41

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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.