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Finding the Fourth Proportional to 280.86, 421.17 and 116.32

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Solution

The fourth proportional to 280.86, 421.17 and 116.32 is: 174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.86 : 421.17 = 116.32 : x
  2. Step 2: Convert to fraction form
    280.86/421.17 = 116.32/x
  3. Step 3: Cross multiply
    280.86x = 421.17 × 116.32
  4. Step 4: Simplify right side
    280.86x = 48,992.55
  5. Step 5: Solve for x
    x = 48,992.55/280.86
  6. Step 6: Final answer
    x = 174.44

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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.