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Finding the Fourth Proportional to 270.60, 406.04 and 222.40

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Solution

The fourth proportional to 270.60, 406.04 and 222.40 is: 333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.60 : 406.04 = 222.40 : x
  2. Step 2: Convert to fraction form
    270.60/406.04 = 222.40/x
  3. Step 3: Cross multiply
    270.60x = 406.04 × 222.40
  4. Step 4: Simplify right side
    270.60x = 90,303.30
  5. Step 5: Solve for x
    x = 90,303.30/270.60
  6. Step 6: Final answer
    x = 333.72

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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.