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Finding the Fourth Proportional to 272.60, 376.14 and 162.06

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Solution

The fourth proportional to 272.60, 376.14 and 162.06 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.60 : 376.14 = 162.06 : x
  2. Step 2: Convert to fraction form
    272.60/376.14 = 162.06/x
  3. Step 3: Cross multiply
    272.60x = 376.14 × 162.06
  4. Step 4: Simplify right side
    272.60x = 60,957.25
  5. Step 5: Solve for x
    x = 60,957.25/272.60
  6. Step 6: Final answer
    x = 223.61

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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.