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Finding the Fourth Proportional to 270.88, 405.96 and 140.77

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Solution

The fourth proportional to 270.88, 405.96 and 140.77 is: 210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.88 : 405.96 = 140.77 : x
  2. Step 2: Convert to fraction form
    270.88/405.96 = 140.77/x
  3. Step 3: Cross multiply
    270.88x = 405.96 × 140.77
  4. Step 4: Simplify right side
    270.88x = 57,146.99
  5. Step 5: Solve for x
    x = 57,146.99/270.88
  6. Step 6: Final answer
    x = 210.97

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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.