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Finding the Fourth Proportional to 262.71, 362.04 and 200.28

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Solution

The fourth proportional to 262.71, 362.04 and 200.28 is: 276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.71 : 362.04 = 200.28 : x
  2. Step 2: Convert to fraction form
    262.71/362.04 = 200.28/x
  3. Step 3: Cross multiply
    262.71x = 362.04 × 200.28
  4. Step 4: Simplify right side
    262.71x = 72,509.37
  5. Step 5: Solve for x
    x = 72,509.37/262.71
  6. Step 6: Final answer
    x = 276.01

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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.