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Finding the Fourth Proportional to 170.41, 234.95 and 140.80

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Solution

The fourth proportional to 170.41, 234.95 and 140.80 is: 194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.41 : 234.95 = 140.80 : x
  2. Step 2: Convert to fraction form
    170.41/234.95 = 140.80/x
  3. Step 3: Cross multiply
    170.41x = 234.95 × 140.80
  4. Step 4: Simplify right side
    170.41x = 33,080.96
  5. Step 5: Solve for x
    x = 33,080.96/170.41
  6. Step 6: Final answer
    x = 194.13

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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.