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Finding the Fourth Proportional to 265.24, 397.07 and 182.80

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Solution

The fourth proportional to 265.24, 397.07 and 182.80 is: 273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.24 : 397.07 = 182.80 : x
  2. Step 2: Convert to fraction form
    265.24/397.07 = 182.80/x
  3. Step 3: Cross multiply
    265.24x = 397.07 × 182.80
  4. Step 4: Simplify right side
    265.24x = 72,584.40
  5. Step 5: Solve for x
    x = 72,584.40/265.24
  6. Step 6: Final answer
    x = 273.66

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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.