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Finding the Fourth Proportional to 294.16, 441.38 and 120.95

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Solution

The fourth proportional to 294.16, 441.38 and 120.95 is: 181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 441.38 = 120.95 : x
  2. Step 2: Convert to fraction form
    294.16/441.38 = 120.95/x
  3. Step 3: Cross multiply
    294.16x = 441.38 × 120.95
  4. Step 4: Simplify right side
    294.16x = 53,384.31
  5. Step 5: Solve for x
    x = 53,384.31/294.16
  6. Step 6: Final answer
    x = 181.48

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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.