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Finding the Fourth Proportional to 280.30, 420.60 and 126.37

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Solution

The fourth proportional to 280.30, 420.60 and 126.37 is: 189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.30 : 420.60 = 126.37 : x
  2. Step 2: Convert to fraction form
    280.30/420.60 = 126.37/x
  3. Step 3: Cross multiply
    280.30x = 420.60 × 126.37
  4. Step 4: Simplify right side
    280.30x = 53,151.22
  5. Step 5: Solve for x
    x = 53,151.22/280.30
  6. Step 6: Final answer
    x = 189.62

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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.