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Finding the Fourth Proportional to 294.97, 442 and 186.54

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Solution

The fourth proportional to 294.97, 442 and 186.54 is: 279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.97 : 442 = 186.54 : x
  2. Step 2: Convert to fraction form
    294.97/442 = 186.54/x
  3. Step 3: Cross multiply
    294.97x = 442 × 186.54
  4. Step 4: Simplify right side
    294.97x = 82,450.68
  5. Step 5: Solve for x
    x = 82,450.68/294.97
  6. Step 6: Final answer
    x = 279.52

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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.