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Finding the Fourth Proportional to 268.49, 370.65 and 189.97

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Solution

The fourth proportional to 268.49, 370.65 and 189.97 is: 262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.49 : 370.65 = 189.97 : x
  2. Step 2: Convert to fraction form
    268.49/370.65 = 189.97/x
  3. Step 3: Cross multiply
    268.49x = 370.65 × 189.97
  4. Step 4: Simplify right side
    268.49x = 70,411.43
  5. Step 5: Solve for x
    x = 70,411.43/268.49
  6. Step 6: Final answer
    x = 262.25

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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.