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Finding the Fourth Proportional to 319.05, 478.26 and 131.31

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Solution

The fourth proportional to 319.05, 478.26 and 131.31 is: 196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.05 : 478.26 = 131.31 : x
  2. Step 2: Convert to fraction form
    319.05/478.26 = 131.31/x
  3. Step 3: Cross multiply
    319.05x = 478.26 × 131.31
  4. Step 4: Simplify right side
    319.05x = 62,800.32
  5. Step 5: Solve for x
    x = 62,800.32/319.05
  6. Step 6: Final answer
    x = 196.84

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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.