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Finding the Fourth Proportional to 270.60, 405.86 and 75.62

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Solution

The fourth proportional to 270.60, 405.86 and 75.62 is: 113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.60 : 405.86 = 75.62 : x
  2. Step 2: Convert to fraction form
    270.60/405.86 = 75.62/x
  3. Step 3: Cross multiply
    270.60x = 405.86 × 75.62
  4. Step 4: Simplify right side
    270.60x = 30,688.73
  5. Step 5: Solve for x
    x = 30,688.73/270.60
  6. Step 6: Final answer
    x = 113.41

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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.