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Finding the Fourth Proportional to 290.34, 400.41 and 192.06

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Solution

The fourth proportional to 290.34, 400.41 and 192.06 is: 264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.34 : 400.41 = 192.06 : x
  2. Step 2: Convert to fraction form
    290.34/400.41 = 192.06/x
  3. Step 3: Cross multiply
    290.34x = 400.41 × 192.06
  4. Step 4: Simplify right side
    290.34x = 76,902.74
  5. Step 5: Solve for x
    x = 76,902.74/290.34
  6. Step 6: Final answer
    x = 264.87

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