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Finding the Fourth Proportional to 270.09, 404.52 and 125.50

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Solution

The fourth proportional to 270.09, 404.52 and 125.50 is: 187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.09 : 404.52 = 125.50 : x
  2. Step 2: Convert to fraction form
    270.09/404.52 = 125.50/x
  3. Step 3: Cross multiply
    270.09x = 404.52 × 125.50
  4. Step 4: Simplify right side
    270.09x = 50,767.26
  5. Step 5: Solve for x
    x = 50,767.26/270.09
  6. Step 6: Final answer
    x = 187.96

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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.