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Finding the Fourth Proportional to 293.67, 440.62 and 129.05

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Solution

The fourth proportional to 293.67, 440.62 and 129.05 is: 193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.67 : 440.62 = 129.05 : x
  2. Step 2: Convert to fraction form
    293.67/440.62 = 129.05/x
  3. Step 3: Cross multiply
    293.67x = 440.62 × 129.05
  4. Step 4: Simplify right side
    293.67x = 56,860.26
  5. Step 5: Solve for x
    x = 56,860.26/293.67
  6. Step 6: Final answer
    x = 193.62

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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.