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Finding the Fourth Proportional to 280.24, 386.45 and 201.41

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Solution

The fourth proportional to 280.24, 386.45 and 201.41 is: 277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 386.45 = 201.41 : x
  2. Step 2: Convert to fraction form
    280.24/386.45 = 201.41/x
  3. Step 3: Cross multiply
    280.24x = 386.45 × 201.41
  4. Step 4: Simplify right side
    280.24x = 77,834.89
  5. Step 5: Solve for x
    x = 77,834.89/280.24
  6. Step 6: Final answer
    x = 277.74

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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.