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Finding the Fourth Proportional to 168.74, 233.13 and 141.02

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Solution

The fourth proportional to 168.74, 233.13 and 141.02 is: 194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.74 : 233.13 = 141.02 : x
  2. Step 2: Convert to fraction form
    168.74/233.13 = 141.02/x
  3. Step 3: Cross multiply
    168.74x = 233.13 × 141.02
  4. Step 4: Simplify right side
    168.74x = 32,875.99
  5. Step 5: Solve for x
    x = 32,875.99/168.74
  6. Step 6: Final answer
    x = 194.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.