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Finding the Fourth Proportional to 280.40, 386.94 and 169.92

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Solution

The fourth proportional to 280.40, 386.94 and 169.92 is: 234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.40 : 386.94 = 169.92 : x
  2. Step 2: Convert to fraction form
    280.40/386.94 = 169.92/x
  3. Step 3: Cross multiply
    280.40x = 386.94 × 169.92
  4. Step 4: Simplify right side
    280.40x = 65,748.84
  5. Step 5: Solve for x
    x = 65,748.84/280.40
  6. Step 6: Final answer
    x = 234.48

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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.