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Finding the Fourth Proportional to 280.81, 387.32 and 170.09

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Solution

The fourth proportional to 280.81, 387.32 and 170.09 is: 234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.81 : 387.32 = 170.09 : x
  2. Step 2: Convert to fraction form
    280.81/387.32 = 170.09/x
  3. Step 3: Cross multiply
    280.81x = 387.32 × 170.09
  4. Step 4: Simplify right side
    280.81x = 65,879.26
  5. Step 5: Solve for x
    x = 65,879.26/280.81
  6. Step 6: Final answer
    x = 234.60

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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.