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Finding the Fourth Proportional to 319.22, 478.73 and 102.75

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Solution

The fourth proportional to 319.22, 478.73 and 102.75 is: 154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.22 : 478.73 = 102.75 : x
  2. Step 2: Convert to fraction form
    319.22/478.73 = 102.75/x
  3. Step 3: Cross multiply
    319.22x = 478.73 × 102.75
  4. Step 4: Simplify right side
    319.22x = 49,189.51
  5. Step 5: Solve for x
    x = 49,189.51/319.22
  6. Step 6: Final answer
    x = 154.09

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Why These Related Problems?

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