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Finding the Fourth Proportional to 405.53, 608.40 and 131.66

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Solution

The fourth proportional to 405.53, 608.40 and 131.66 is: 197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.53 : 608.40 = 131.66 : x
  2. Step 2: Convert to fraction form
    405.53/608.40 = 131.66/x
  3. Step 3: Cross multiply
    405.53x = 608.40 × 131.66
  4. Step 4: Simplify right side
    405.53x = 80,101.94
  5. Step 5: Solve for x
    x = 80,101.94/405.53
  6. Step 6: Final answer
    x = 197.52

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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.