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Finding the Fourth Proportional to 294.57, 442.94 and 203.85

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Solution

The fourth proportional to 294.57, 442.94 and 203.85 is: 306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.57 : 442.94 = 203.85 : x
  2. Step 2: Convert to fraction form
    294.57/442.94 = 203.85/x
  3. Step 3: Cross multiply
    294.57x = 442.94 × 203.85
  4. Step 4: Simplify right side
    294.57x = 90,292.30
  5. Step 5: Solve for x
    x = 90,292.30/294.57
  6. Step 6: Final answer
    x = 306.52

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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.