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Finding the Fourth Proportional to 270.34, 405.47 and 77.96

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Solution

The fourth proportional to 270.34, 405.47 and 77.96 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.34 : 405.47 = 77.96 : x
  2. Step 2: Convert to fraction form
    270.34/405.47 = 77.96/x
  3. Step 3: Cross multiply
    270.34x = 405.47 × 77.96
  4. Step 4: Simplify right side
    270.34x = 31,611.65
  5. Step 5: Solve for x
    x = 31,611.65/270.34
  6. Step 6: Final answer
    x = 116.93

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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.