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Finding the Fourth Proportional to 280.38, 419.88 and 172.02

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Solution

The fourth proportional to 280.38, 419.88 and 172.02 is: 257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.38 : 419.88 = 172.02 : x
  2. Step 2: Convert to fraction form
    280.38/419.88 = 172.02/x
  3. Step 3: Cross multiply
    280.38x = 419.88 × 172.02
  4. Step 4: Simplify right side
    280.38x = 72,227.76
  5. Step 5: Solve for x
    x = 72,227.76/280.38
  6. Step 6: Final answer
    x = 257.61

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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.