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Finding the Fourth Proportional to 280.18, 419.40 and 211.96

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Solution

The fourth proportional to 280.18, 419.40 and 211.96 is: 317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.18 : 419.40 = 211.96 : x
  2. Step 2: Convert to fraction form
    280.18/419.40 = 211.96/x
  3. Step 3: Cross multiply
    280.18x = 419.40 × 211.96
  4. Step 4: Simplify right side
    280.18x = 88,896.02
  5. Step 5: Solve for x
    x = 88,896.02/280.18
  6. Step 6: Final answer
    x = 317.28

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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.