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Finding the Fourth Proportional to 319.25, 478.49 and 162.86

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Solution

The fourth proportional to 319.25, 478.49 and 162.86 is: 244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.25 : 478.49 = 162.86 : x
  2. Step 2: Convert to fraction form
    319.25/478.49 = 162.86/x
  3. Step 3: Cross multiply
    319.25x = 478.49 × 162.86
  4. Step 4: Simplify right side
    319.25x = 77,923.67
  5. Step 5: Solve for x
    x = 77,923.67/319.25
  6. Step 6: Final answer
    x = 244.08

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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.