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Finding the Fourth Proportional to 280.22, 420.47 and 212.16

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Solution

The fourth proportional to 280.22, 420.47 and 212.16 is: 318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.22 : 420.47 = 212.16 : x
  2. Step 2: Convert to fraction form
    280.22/420.47 = 212.16/x
  3. Step 3: Cross multiply
    280.22x = 420.47 × 212.16
  4. Step 4: Simplify right side
    280.22x = 89,203.75
  5. Step 5: Solve for x
    x = 89,203.75/280.22
  6. Step 6: Final answer
    x = 318.34

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