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Finding the Fourth Proportional to 270.25, 405.38 and 77.88

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Solution

The fourth proportional to 270.25, 405.38 and 77.88 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.25 : 405.38 = 77.88 : x
  2. Step 2: Convert to fraction form
    270.25/405.38 = 77.88/x
  3. Step 3: Cross multiply
    270.25x = 405.38 × 77.88
  4. Step 4: Simplify right side
    270.25x = 31,570.99
  5. Step 5: Solve for x
    x = 31,570.99/270.25
  6. Step 6: Final answer
    x = 116.82

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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.