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Finding the Fourth Proportional to 280.13, 386.57 and 163.69

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Solution

The fourth proportional to 280.13, 386.57 and 163.69 is: 225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.13 : 386.57 = 163.69 : x
  2. Step 2: Convert to fraction form
    280.13/386.57 = 163.69/x
  3. Step 3: Cross multiply
    280.13x = 386.57 × 163.69
  4. Step 4: Simplify right side
    280.13x = 63,277.09
  5. Step 5: Solve for x
    x = 63,277.09/280.13
  6. Step 6: Final answer
    x = 225.89

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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.