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Finding the Fourth Proportional to 270, 405.12 and 197.52

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Solution

The fourth proportional to 270, 405.12 and 197.52 is: 296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 405.12 = 197.52 : x
  2. Step 2: Convert to fraction form
    270/405.12 = 197.52/x
  3. Step 3: Cross multiply
    270x = 405.12 × 197.52
  4. Step 4: Simplify right side
    270x = 80,019.30
  5. Step 5: Solve for x
    x = 80,019.30/270
  6. Step 6: Final answer
    x = 296.37

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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.