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Finding the Fourth Proportional to 280.91, 421.37 and 178.05

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Solution

The fourth proportional to 280.91, 421.37 and 178.05 is: 267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.91 : 421.37 = 178.05 : x
  2. Step 2: Convert to fraction form
    280.91/421.37 = 178.05/x
  3. Step 3: Cross multiply
    280.91x = 421.37 × 178.05
  4. Step 4: Simplify right side
    280.91x = 75,024.04
  5. Step 5: Solve for x
    x = 75,024.04/280.91
  6. Step 6: Final answer
    x = 267.08

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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.