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Finding the Fourth Proportional to 280.91, 421.50 and 107.68

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Solution

The fourth proportional to 280.91, 421.50 and 107.68 is: 161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.91 : 421.50 = 107.68 : x
  2. Step 2: Convert to fraction form
    280.91/421.50 = 107.68/x
  3. Step 3: Cross multiply
    280.91x = 421.50 × 107.68
  4. Step 4: Simplify right side
    280.91x = 45,386.07
  5. Step 5: Solve for x
    x = 45,386.07/280.91
  6. Step 6: Final answer
    x = 161.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.