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Finding the Fourth Proportional to 280.16, 386.63 and 169.66

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Solution

The fourth proportional to 280.16, 386.63 and 169.66 is: 234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.16 : 386.63 = 169.66 : x
  2. Step 2: Convert to fraction form
    280.16/386.63 = 169.66/x
  3. Step 3: Cross multiply
    280.16x = 386.63 × 169.66
  4. Step 4: Simplify right side
    280.16x = 65,597.04
  5. Step 5: Solve for x
    x = 65,597.04/280.16
  6. Step 6: Final answer
    x = 234.14

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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.