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Finding the Fourth Proportional to 265.46, 397.83 and 137.30

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Solution

The fourth proportional to 265.46, 397.83 and 137.30 is: 205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.46 : 397.83 = 137.30 : x
  2. Step 2: Convert to fraction form
    265.46/397.83 = 137.30/x
  3. Step 3: Cross multiply
    265.46x = 397.83 × 137.30
  4. Step 4: Simplify right side
    265.46x = 54,622.06
  5. Step 5: Solve for x
    x = 54,622.06/265.46
  6. Step 6: Final answer
    x = 205.76

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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.