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Finding the Fourth Proportional to 280.67, 421.61 and 208.98

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Solution

The fourth proportional to 280.67, 421.61 and 208.98 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.67 : 421.61 = 208.98 : x
  2. Step 2: Convert to fraction form
    280.67/421.61 = 208.98/x
  3. Step 3: Cross multiply
    280.67x = 421.61 × 208.98
  4. Step 4: Simplify right side
    280.67x = 88,107.01
  5. Step 5: Solve for x
    x = 88,107.01/280.67
  6. Step 6: Final answer
    x = 313.92

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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.