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Finding the Fourth Proportional to 280.22, 420.27 and 87.88

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Solution

The fourth proportional to 280.22, 420.27 and 87.88 is: 131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.22 : 420.27 = 87.88 : x
  2. Step 2: Convert to fraction form
    280.22/420.27 = 87.88/x
  3. Step 3: Cross multiply
    280.22x = 420.27 × 87.88
  4. Step 4: Simplify right side
    280.22x = 36,933.33
  5. Step 5: Solve for x
    x = 36,933.33/280.22
  6. Step 6: Final answer
    x = 131.80

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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.