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Finding the Fourth Proportional to 270.14, 405.78 and 233.60

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Solution

The fourth proportional to 270.14, 405.78 and 233.60 is: 350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.14 : 405.78 = 233.60 : x
  2. Step 2: Convert to fraction form
    270.14/405.78 = 233.60/x
  3. Step 3: Cross multiply
    270.14x = 405.78 × 233.60
  4. Step 4: Simplify right side
    270.14x = 94,790.21
  5. Step 5: Solve for x
    x = 94,790.21/270.14
  6. Step 6: Final answer
    x = 350.89

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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.