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Finding the Fourth Proportional to 265.32, 397.37 and 200.12

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Solution

The fourth proportional to 265.32, 397.37 and 200.12 is: 299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.32 : 397.37 = 200.12 : x
  2. Step 2: Convert to fraction form
    265.32/397.37 = 200.12/x
  3. Step 3: Cross multiply
    265.32x = 397.37 × 200.12
  4. Step 4: Simplify right side
    265.32x = 79,518.70
  5. Step 5: Solve for x
    x = 79,518.70/265.32
  6. Step 6: Final answer
    x = 299.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.