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Finding the Fourth Proportional to 315.29, 435.09 and 184.27

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Solution

The fourth proportional to 315.29, 435.09 and 184.27 is: 254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 435.09 = 184.27 : x
  2. Step 2: Convert to fraction form
    315.29/435.09 = 184.27/x
  3. Step 3: Cross multiply
    315.29x = 435.09 × 184.27
  4. Step 4: Simplify right side
    315.29x = 80,172.95
  5. Step 5: Solve for x
    x = 80,172.95/315.29
  6. Step 6: Final answer
    x = 254.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.