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Finding the Fourth Proportional to 270.94, 374 and 205.46

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Solution

The fourth proportional to 270.94, 374 and 205.46 is: 283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.94 : 374 = 205.46 : x
  2. Step 2: Convert to fraction form
    270.94/374 = 205.46/x
  3. Step 3: Cross multiply
    270.94x = 374 × 205.46
  4. Step 4: Simplify right side
    270.94x = 76,842.04
  5. Step 5: Solve for x
    x = 76,842.04/270.94
  6. Step 6: Final answer
    x = 283.61

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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.