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Finding the Fourth Proportional to 294.87, 442.06 and 180.63

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Solution

The fourth proportional to 294.87, 442.06 and 180.63 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.87 : 442.06 = 180.63 : x
  2. Step 2: Convert to fraction form
    294.87/442.06 = 180.63/x
  3. Step 3: Cross multiply
    294.87x = 442.06 × 180.63
  4. Step 4: Simplify right side
    294.87x = 79,846.64
  5. Step 5: Solve for x
    x = 79,846.64/294.87
  6. Step 6: Final answer
    x = 270.79

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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.