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Finding the Fourth Proportional to 272.50, 376.05 and 169.14

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Solution

The fourth proportional to 272.50, 376.05 and 169.14 is: 233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.50 : 376.05 = 169.14 : x
  2. Step 2: Convert to fraction form
    272.50/376.05 = 169.14/x
  3. Step 3: Cross multiply
    272.50x = 376.05 × 169.14
  4. Step 4: Simplify right side
    272.50x = 63,605.10
  5. Step 5: Solve for x
    x = 63,605.10/272.50
  6. Step 6: Final answer
    x = 233.41

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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.