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Finding the Fourth Proportional to 280.74, 421.08 and 165.25

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Solution

The fourth proportional to 280.74, 421.08 and 165.25 is: 247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.74 : 421.08 = 165.25 : x
  2. Step 2: Convert to fraction form
    280.74/421.08 = 165.25/x
  3. Step 3: Cross multiply
    280.74x = 421.08 × 165.25
  4. Step 4: Simplify right side
    280.74x = 69,583.47
  5. Step 5: Solve for x
    x = 69,583.47/280.74
  6. Step 6: Final answer
    x = 247.86

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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.