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Finding the Fourth Proportional to 294.70, 441.24 and 186.16

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Solution

The fourth proportional to 294.70, 441.24 and 186.16 is: 278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.70 : 441.24 = 186.16 : x
  2. Step 2: Convert to fraction form
    294.70/441.24 = 186.16/x
  3. Step 3: Cross multiply
    294.70x = 441.24 × 186.16
  4. Step 4: Simplify right side
    294.70x = 82,141.24
  5. Step 5: Solve for x
    x = 82,141.24/294.70
  6. Step 6: Final answer
    x = 278.73

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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.