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Finding the Fourth Proportional to 270.95, 406.30 and 78.53

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Solution

The fourth proportional to 270.95, 406.30 and 78.53 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.95 : 406.30 = 78.53 : x
  2. Step 2: Convert to fraction form
    270.95/406.30 = 78.53/x
  3. Step 3: Cross multiply
    270.95x = 406.30 × 78.53
  4. Step 4: Simplify right side
    270.95x = 31,906.74
  5. Step 5: Solve for x
    x = 31,906.74/270.95
  6. Step 6: Final answer
    x = 117.76

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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.