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Finding the Fourth Proportional to 405.71, 608.63 and 131.78

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Solution

The fourth proportional to 405.71, 608.63 and 131.78 is: 197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.71 : 608.63 = 131.78 : x
  2. Step 2: Convert to fraction form
    405.71/608.63 = 131.78/x
  3. Step 3: Cross multiply
    405.71x = 608.63 × 131.78
  4. Step 4: Simplify right side
    405.71x = 80,205.26
  5. Step 5: Solve for x
    x = 80,205.26/405.71
  6. Step 6: Final answer
    x = 197.69

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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.