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Finding the Fourth Proportional to 280.94, 421.12 and 178.30

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Solution

The fourth proportional to 280.94, 421.12 and 178.30 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.94 : 421.12 = 178.30 : x
  2. Step 2: Convert to fraction form
    280.94/421.12 = 178.30/x
  3. Step 3: Cross multiply
    280.94x = 421.12 × 178.30
  4. Step 4: Simplify right side
    280.94x = 75,085.70
  5. Step 5: Solve for x
    x = 75,085.70/280.94
  6. Step 6: Final answer
    x = 267.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.