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Finding the Fourth Proportional to 319.29, 478.09 and 189.15

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Solution

The fourth proportional to 319.29, 478.09 and 189.15 is: 283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.29 : 478.09 = 189.15 : x
  2. Step 2: Convert to fraction form
    319.29/478.09 = 189.15/x
  3. Step 3: Cross multiply
    319.29x = 478.09 × 189.15
  4. Step 4: Simplify right side
    319.29x = 90,430.72
  5. Step 5: Solve for x
    x = 90,430.72/319.29
  6. Step 6: Final answer
    x = 283.22

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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.