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Finding the Fourth Proportional to 280.08, 420.21 and 234.90

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Solution

The fourth proportional to 280.08, 420.21 and 234.90 is: 352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.08 : 420.21 = 234.90 : x
  2. Step 2: Convert to fraction form
    280.08/420.21 = 234.90/x
  3. Step 3: Cross multiply
    280.08x = 420.21 × 234.90
  4. Step 4: Simplify right side
    280.08x = 98,707.33
  5. Step 5: Solve for x
    x = 98,707.33/280.08
  6. Step 6: Final answer
    x = 352.43

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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.