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Finding the Fourth Proportional to 272.54, 375.84 and 174.12

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Solution

The fourth proportional to 272.54, 375.84 and 174.12 is: 240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.54 : 375.84 = 174.12 : x
  2. Step 2: Convert to fraction form
    272.54/375.84 = 174.12/x
  3. Step 3: Cross multiply
    272.54x = 375.84 × 174.12
  4. Step 4: Simplify right side
    272.54x = 65,441.26
  5. Step 5: Solve for x
    x = 65,441.26/272.54
  6. Step 6: Final answer
    x = 240.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.