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Finding the Fourth Proportional to 405.10, 607.73 and 131.22

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Solution

The fourth proportional to 405.10, 607.73 and 131.22 is: 196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.10 : 607.73 = 131.22 : x
  2. Step 2: Convert to fraction form
    405.10/607.73 = 131.22/x
  3. Step 3: Cross multiply
    405.10x = 607.73 × 131.22
  4. Step 4: Simplify right side
    405.10x = 79,744.38
  5. Step 5: Solve for x
    x = 79,744.38/405.10
  6. Step 6: Final answer
    x = 196.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.