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Finding the Fourth Proportional to 190.31, 285.56 and 82.10

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Solution

The fourth proportional to 190.31, 285.56 and 82.10 is: 123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.31 : 285.56 = 82.10 : x
  2. Step 2: Convert to fraction form
    190.31/285.56 = 82.10/x
  3. Step 3: Cross multiply
    190.31x = 285.56 × 82.10
  4. Step 4: Simplify right side
    190.31x = 23,442.64
  5. Step 5: Solve for x
    x = 23,442.64/190.31
  6. Step 6: Final answer
    x = 123.18

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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.