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Finding the Fourth Proportional to 270.76, 406.38 and 202.08

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Solution

The fourth proportional to 270.76, 406.38 and 202.08 is: 303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.76 : 406.38 = 202.08 : x
  2. Step 2: Convert to fraction form
    270.76/406.38 = 202.08/x
  3. Step 3: Cross multiply
    270.76x = 406.38 × 202.08
  4. Step 4: Simplify right side
    270.76x = 82,121.27
  5. Step 5: Solve for x
    x = 82,121.27/270.76
  6. Step 6: Final answer
    x = 303.30

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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.