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Finding the Fourth Proportional to 272.84, 376.58 and 189.90

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Solution

The fourth proportional to 272.84, 376.58 and 189.90 is: 262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.84 : 376.58 = 189.90 : x
  2. Step 2: Convert to fraction form
    272.84/376.58 = 189.90/x
  3. Step 3: Cross multiply
    272.84x = 376.58 × 189.90
  4. Step 4: Simplify right side
    272.84x = 71,513.02
  5. Step 5: Solve for x
    x = 71,513.02/272.84
  6. Step 6: Final answer
    x = 262.11

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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.