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Finding the Fourth Proportional to 280.15, 386.21 and 197.00

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Solution

The fourth proportional to 280.15, 386.21 and 197.00 is: 271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.15 : 386.21 = 197.00 : x
  2. Step 2: Convert to fraction form
    280.15/386.21 = 197.00/x
  3. Step 3: Cross multiply
    280.15x = 386.21 × 197.00
  4. Step 4: Simplify right side
    280.15x = 76,083.35
  5. Step 5: Solve for x
    x = 76,083.35/280.15
  6. Step 6: Final answer
    x = 271.58

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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.