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Finding the Fourth Proportional to 280.02, 386.47 and 163.65

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Solution

The fourth proportional to 280.02, 386.47 and 163.65 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 386.47 = 163.65 : x
  2. Step 2: Convert to fraction form
    280.02/386.47 = 163.65/x
  3. Step 3: Cross multiply
    280.02x = 386.47 × 163.65
  4. Step 4: Simplify right side
    280.02x = 63,245.82
  5. Step 5: Solve for x
    x = 63,245.82/280.02
  6. Step 6: Final answer
    x = 225.86

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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.