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Finding the Fourth Proportional to 270.17, 370.41 and 265.31

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Solution

The fourth proportional to 270.17, 370.41 and 265.31 is: 363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.17 : 370.41 = 265.31 : x
  2. Step 2: Convert to fraction form
    270.17/370.41 = 265.31/x
  3. Step 3: Cross multiply
    270.17x = 370.41 × 265.31
  4. Step 4: Simplify right side
    270.17x = 98,273.48
  5. Step 5: Solve for x
    x = 98,273.48/270.17
  6. Step 6: Final answer
    x = 363.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.