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Finding the Fourth Proportional to 270.82, 406.23 and 78.45

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Solution

The fourth proportional to 270.82, 406.23 and 78.45 is: 117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.82 : 406.23 = 78.45 : x
  2. Step 2: Convert to fraction form
    270.82/406.23 = 78.45/x
  3. Step 3: Cross multiply
    270.82x = 406.23 × 78.45
  4. Step 4: Simplify right side
    270.82x = 31,868.74
  5. Step 5: Solve for x
    x = 31,868.74/270.82
  6. Step 6: Final answer
    x = 117.68

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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.