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Finding the Fourth Proportional to 275.81, 381.20 and 202.64

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Solution

The fourth proportional to 275.81, 381.20 and 202.64 is: 280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 381.20 = 202.64 : x
  2. Step 2: Convert to fraction form
    275.81/381.20 = 202.64/x
  3. Step 3: Cross multiply
    275.81x = 381.20 × 202.64
  4. Step 4: Simplify right side
    275.81x = 77,243.45
  5. Step 5: Solve for x
    x = 77,243.45/275.81
  6. Step 6: Final answer
    x = 280.07

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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.