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Finding the Fourth Proportional to 270.77, 405.72 and 193.86

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Solution

The fourth proportional to 270.77, 405.72 and 193.86 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.77 : 405.72 = 193.86 : x
  2. Step 2: Convert to fraction form
    270.77/405.72 = 193.86/x
  3. Step 3: Cross multiply
    270.77x = 405.72 × 193.86
  4. Step 4: Simplify right side
    270.77x = 78,652.88
  5. Step 5: Solve for x
    x = 78,652.88/270.77
  6. Step 6: Final answer
    x = 290.48

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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.