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Finding the Fourth Proportional to 280.05, 386.60 and 201.48

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Solution

The fourth proportional to 280.05, 386.60 and 201.48 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.05 : 386.60 = 201.48 : x
  2. Step 2: Convert to fraction form
    280.05/386.60 = 201.48/x
  3. Step 3: Cross multiply
    280.05x = 386.60 × 201.48
  4. Step 4: Simplify right side
    280.05x = 77,891.16
  5. Step 5: Solve for x
    x = 77,891.16/280.05
  6. Step 6: Final answer
    x = 278.13

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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.