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Finding the Fourth Proportional to 210.94, 290.94 and 169.54

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Solution

The fourth proportional to 210.94, 290.94 and 169.54 is: 233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 290.94 = 169.54 : x
  2. Step 2: Convert to fraction form
    210.94/290.94 = 169.54/x
  3. Step 3: Cross multiply
    210.94x = 290.94 × 169.54
  4. Step 4: Simplify right side
    210.94x = 49,325.97
  5. Step 5: Solve for x
    x = 49,325.97/210.94
  6. Step 6: Final answer
    x = 233.84

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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.