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Finding the Fourth Proportional to 280.14, 386.60 and 162.12

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Solution

The fourth proportional to 280.14, 386.60 and 162.12 is: 223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 386.60 = 162.12 : x
  2. Step 2: Convert to fraction form
    280.14/386.60 = 162.12/x
  3. Step 3: Cross multiply
    280.14x = 386.60 × 162.12
  4. Step 4: Simplify right side
    280.14x = 62,675.59
  5. Step 5: Solve for x
    x = 62,675.59/280.14
  6. Step 6: Final answer
    x = 223.73

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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.