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Finding the Fourth Proportional to 294.08, 441.20 and 157.04

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Solution

The fourth proportional to 294.08, 441.20 and 157.04 is: 235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.08 : 441.20 = 157.04 : x
  2. Step 2: Convert to fraction form
    294.08/441.20 = 157.04/x
  3. Step 3: Cross multiply
    294.08x = 441.20 × 157.04
  4. Step 4: Simplify right side
    294.08x = 69,286.05
  5. Step 5: Solve for x
    x = 69,286.05/294.08
  6. Step 6: Final answer
    x = 235.60

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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.