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Finding the Fourth Proportional to 319.96, 480.06 and 189.94

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Solution

The fourth proportional to 319.96, 480.06 and 189.94 is: 284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 480.06 = 189.94 : x
  2. Step 2: Convert to fraction form
    319.96/480.06 = 189.94/x
  3. Step 3: Cross multiply
    319.96x = 480.06 × 189.94
  4. Step 4: Simplify right side
    319.96x = 91,182.60
  5. Step 5: Solve for x
    x = 91,182.60/319.96
  6. Step 6: Final answer
    x = 284.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.