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Finding the Fourth Proportional to 294.06, 405.75 and 190.50

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Solution

The fourth proportional to 294.06, 405.75 and 190.50 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.06 : 405.75 = 190.50 : x
  2. Step 2: Convert to fraction form
    294.06/405.75 = 190.50/x
  3. Step 3: Cross multiply
    294.06x = 405.75 × 190.50
  4. Step 4: Simplify right side
    294.06x = 77,295.38
  5. Step 5: Solve for x
    x = 77,295.38/294.06
  6. Step 6: Final answer
    x = 262.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.