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Finding the Fourth Proportional to 280.53, 421.01 and 143.55

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Solution

The fourth proportional to 280.53, 421.01 and 143.55 is: 215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 421.01 = 143.55 : x
  2. Step 2: Convert to fraction form
    280.53/421.01 = 143.55/x
  3. Step 3: Cross multiply
    280.53x = 421.01 × 143.55
  4. Step 4: Simplify right side
    280.53x = 60,435.27
  5. Step 5: Solve for x
    x = 60,435.27/280.53
  6. Step 6: Final answer
    x = 215.43

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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.