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Finding the Fourth Proportional to 275.96, 380.67 and 210.26

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Solution

The fourth proportional to 275.96, 380.67 and 210.26 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.96 : 380.67 = 210.26 : x
  2. Step 2: Convert to fraction form
    275.96/380.67 = 210.26/x
  3. Step 3: Cross multiply
    275.96x = 380.67 × 210.26
  4. Step 4: Simplify right side
    275.96x = 80,039.67
  5. Step 5: Solve for x
    x = 80,039.67/275.96
  6. Step 6: Final answer
    x = 290.04

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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.