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Finding the Fourth Proportional to 294.56, 441.26 and 157.42

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Solution

The fourth proportional to 294.56, 441.26 and 157.42 is: 235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.56 : 441.26 = 157.42 : x
  2. Step 2: Convert to fraction form
    294.56/441.26 = 157.42/x
  3. Step 3: Cross multiply
    294.56x = 441.26 × 157.42
  4. Step 4: Simplify right side
    294.56x = 69,460.16
  5. Step 5: Solve for x
    x = 69,460.16/294.56
  6. Step 6: Final answer
    x = 235.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.