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Finding the Fourth Proportional to 272.54, 376.11 and 162.07

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Solution

The fourth proportional to 272.54, 376.11 and 162.07 is: 223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.54 : 376.11 = 162.07 : x
  2. Step 2: Convert to fraction form
    272.54/376.11 = 162.07/x
  3. Step 3: Cross multiply
    272.54x = 376.11 × 162.07
  4. Step 4: Simplify right side
    272.54x = 60,955.21
  5. Step 5: Solve for x
    x = 60,955.21/272.54
  6. Step 6: Final answer
    x = 223.65

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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.