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Finding the Fourth Proportional to 294.68, 441.81 and 157.79

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Solution

The fourth proportional to 294.68, 441.81 and 157.79 is: 236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.68 : 441.81 = 157.79 : x
  2. Step 2: Convert to fraction form
    294.68/441.81 = 157.79/x
  3. Step 3: Cross multiply
    294.68x = 441.81 × 157.79
  4. Step 4: Simplify right side
    294.68x = 69,714.30
  5. Step 5: Solve for x
    x = 69,714.30/294.68
  6. Step 6: Final answer
    x = 236.57

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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.