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Finding the Fourth Proportional to 294.43, 441.51 and 172.73

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Solution

The fourth proportional to 294.43, 441.51 and 172.73 is: 259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.43 : 441.51 = 172.73 : x
  2. Step 2: Convert to fraction form
    294.43/441.51 = 172.73/x
  3. Step 3: Cross multiply
    294.43x = 441.51 × 172.73
  4. Step 4: Simplify right side
    294.43x = 76,262.02
  5. Step 5: Solve for x
    x = 76,262.02/294.43
  6. Step 6: Final answer
    x = 259.02

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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.