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Finding the Fourth Proportional to 400.83, 601.42 and 195.40

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Solution

The fourth proportional to 400.83, 601.42 and 195.40 is: 293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.83 : 601.42 = 195.40 : x
  2. Step 2: Convert to fraction form
    400.83/601.42 = 195.40/x
  3. Step 3: Cross multiply
    400.83x = 601.42 × 195.40
  4. Step 4: Simplify right side
    400.83x = 117,518.97
  5. Step 5: Solve for x
    x = 117,518.97/400.83
  6. Step 6: Final answer
    x = 293.19

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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.