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Finding the Fourth Proportional to 280.06, 385.97 and 197.03

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Solution

The fourth proportional to 280.06, 385.97 and 197.03 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.06 : 385.97 = 197.03 : x
  2. Step 2: Convert to fraction form
    280.06/385.97 = 197.03/x
  3. Step 3: Cross multiply
    280.06x = 385.97 × 197.03
  4. Step 4: Simplify right side
    280.06x = 76,047.65
  5. Step 5: Solve for x
    x = 76,047.65/280.06
  6. Step 6: Final answer
    x = 271.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.