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Finding the Fourth Proportional to 401.10, 601.05 and 195.43

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Solution

The fourth proportional to 401.10, 601.05 and 195.43 is: 292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.10 : 601.05 = 195.43 : x
  2. Step 2: Convert to fraction form
    401.10/601.05 = 195.43/x
  3. Step 3: Cross multiply
    401.10x = 601.05 × 195.43
  4. Step 4: Simplify right side
    401.10x = 117,463.20
  5. Step 5: Solve for x
    x = 117,463.20/401.10
  6. Step 6: Final answer
    x = 292.85

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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.