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Finding the Fourth Proportional to 270.78, 406.18 and 78.42

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Solution

The fourth proportional to 270.78, 406.18 and 78.42 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.78 : 406.18 = 78.42 : x
  2. Step 2: Convert to fraction form
    270.78/406.18 = 78.42/x
  3. Step 3: Cross multiply
    270.78x = 406.18 × 78.42
  4. Step 4: Simplify right side
    270.78x = 31,852.64
  5. Step 5: Solve for x
    x = 31,852.64/270.78
  6. Step 6: Final answer
    x = 117.63

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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.