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Finding the Fourth Proportional to 252.90, 349.09 and 170.21

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Solution

The fourth proportional to 252.90, 349.09 and 170.21 is: 234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.90 : 349.09 = 170.21 : x
  2. Step 2: Convert to fraction form
    252.90/349.09 = 170.21/x
  3. Step 3: Cross multiply
    252.90x = 349.09 × 170.21
  4. Step 4: Simplify right side
    252.90x = 59,419.06
  5. Step 5: Solve for x
    x = 59,419.06/252.90
  6. Step 6: Final answer
    x = 234.95

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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.