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Finding the Fourth Proportional to 270.31, 405.47 and 77.94

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Solution

The fourth proportional to 270.31, 405.47 and 77.94 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.31 : 405.47 = 77.94 : x
  2. Step 2: Convert to fraction form
    270.31/405.47 = 77.94/x
  3. Step 3: Cross multiply
    270.31x = 405.47 × 77.94
  4. Step 4: Simplify right side
    270.31x = 31,602.33
  5. Step 5: Solve for x
    x = 31,602.33/270.31
  6. Step 6: Final answer
    x = 116.91

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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.