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Finding the Fourth Proportional to 272.84, 376.21 and 174.56

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Solution

The fourth proportional to 272.84, 376.21 and 174.56 is: 240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.84 : 376.21 = 174.56 : x
  2. Step 2: Convert to fraction form
    272.84/376.21 = 174.56/x
  3. Step 3: Cross multiply
    272.84x = 376.21 × 174.56
  4. Step 4: Simplify right side
    272.84x = 65,669.55
  5. Step 5: Solve for x
    x = 65,669.55/272.84
  6. Step 6: Final answer
    x = 240.69

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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.