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Finding the Fourth Proportional to 401.20, 601.80 and 112.64

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Solution

The fourth proportional to 401.20, 601.80 and 112.64 is: 168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.20 : 601.80 = 112.64 : x
  2. Step 2: Convert to fraction form
    401.20/601.80 = 112.64/x
  3. Step 3: Cross multiply
    401.20x = 601.80 × 112.64
  4. Step 4: Simplify right side
    401.20x = 67,786.75
  5. Step 5: Solve for x
    x = 67,786.75/401.20
  6. Step 6: Final answer
    x = 168.96

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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.