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Finding the Fourth Proportional to 294.18, 441.54 and 172.29

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Solution

The fourth proportional to 294.18, 441.54 and 172.29 is: 258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.18 : 441.54 = 172.29 : x
  2. Step 2: Convert to fraction form
    294.18/441.54 = 172.29/x
  3. Step 3: Cross multiply
    294.18x = 441.54 × 172.29
  4. Step 4: Simplify right side
    294.18x = 76,072.93
  5. Step 5: Solve for x
    x = 76,072.93/294.18
  6. Step 6: Final answer
    x = 258.59

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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.