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Finding the Fourth Proportional to 270.13, 405.23 and 77.75

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Solution

The fourth proportional to 270.13, 405.23 and 77.75 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.13 : 405.23 = 77.75 : x
  2. Step 2: Convert to fraction form
    270.13/405.23 = 77.75/x
  3. Step 3: Cross multiply
    270.13x = 405.23 × 77.75
  4. Step 4: Simplify right side
    270.13x = 31,506.63
  5. Step 5: Solve for x
    x = 31,506.63/270.13
  6. Step 6: Final answer
    x = 116.64

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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.