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Finding the Fourth Proportional to 270, 405.27 and 197.10

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Solution

The fourth proportional to 270, 405.27 and 197.10 is: 295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 405.27 = 197.10 : x
  2. Step 2: Convert to fraction form
    270/405.27 = 197.10/x
  3. Step 3: Cross multiply
    270x = 405.27 × 197.10
  4. Step 4: Simplify right side
    270x = 79,878.72
  5. Step 5: Solve for x
    x = 79,878.72/270
  6. Step 6: Final answer
    x = 295.85

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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.