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Finding the Fourth Proportional to 405.92, 608.96 and 132.03

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Solution

The fourth proportional to 405.92, 608.96 and 132.03 is: 198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.92 : 608.96 = 132.03 : x
  2. Step 2: Convert to fraction form
    405.92/608.96 = 132.03/x
  3. Step 3: Cross multiply
    405.92x = 608.96 × 132.03
  4. Step 4: Simplify right side
    405.92x = 80,401.32
  5. Step 5: Solve for x
    x = 80,401.32/405.92
  6. Step 6: Final answer
    x = 198.07

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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.