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Finding the Fourth Proportional to 190.16, 285.04 and 82

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Solution

The fourth proportional to 190.16, 285.04 and 82 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.16 : 285.04 = 82 : x
  2. Step 2: Convert to fraction form
    190.16/285.04 = 82/x
  3. Step 3: Cross multiply
    190.16x = 285.04 × 82
  4. Step 4: Simplify right side
    190.16x = 23,373.28
  5. Step 5: Solve for x
    x = 23,373.28/190.16
  6. Step 6: Final answer
    x = 122.91

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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.