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Finding the Fourth Proportional to 319.12, 478.67 and 134.12

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Solution

The fourth proportional to 319.12, 478.67 and 134.12 is: 201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.12 : 478.67 = 134.12 : x
  2. Step 2: Convert to fraction form
    319.12/478.67 = 134.12/x
  3. Step 3: Cross multiply
    319.12x = 478.67 × 134.12
  4. Step 4: Simplify right side
    319.12x = 64,200.75
  5. Step 5: Solve for x
    x = 64,200.75/319.12
  6. Step 6: Final answer
    x = 201.18

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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.