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Finding the Fourth Proportional to 270.96, 406.44 and 78.57

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Solution

The fourth proportional to 270.96, 406.44 and 78.57 is: 117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.96 : 406.44 = 78.57 : x
  2. Step 2: Convert to fraction form
    270.96/406.44 = 78.57/x
  3. Step 3: Cross multiply
    270.96x = 406.44 × 78.57
  4. Step 4: Simplify right side
    270.96x = 31,933.99
  5. Step 5: Solve for x
    x = 31,933.99/270.96
  6. Step 6: Final answer
    x = 117.86

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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.