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Finding the Fourth Proportional to 270.03, 372.46 and 185.96

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Solution

The fourth proportional to 270.03, 372.46 and 185.96 is: 256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.03 : 372.46 = 185.96 : x
  2. Step 2: Convert to fraction form
    270.03/372.46 = 185.96/x
  3. Step 3: Cross multiply
    270.03x = 372.46 × 185.96
  4. Step 4: Simplify right side
    270.03x = 69,262.66
  5. Step 5: Solve for x
    x = 69,262.66/270.03
  6. Step 6: Final answer
    x = 256.50

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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.