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Finding the Fourth Proportional to 319.30, 478.96 and 121.64

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Solution

The fourth proportional to 319.30, 478.96 and 121.64 is: 182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.30 : 478.96 = 121.64 : x
  2. Step 2: Convert to fraction form
    319.30/478.96 = 121.64/x
  3. Step 3: Cross multiply
    319.30x = 478.96 × 121.64
  4. Step 4: Simplify right side
    319.30x = 58,260.69
  5. Step 5: Solve for x
    x = 58,260.69/319.30
  6. Step 6: Final answer
    x = 182.46

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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.