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Finding the Fourth Proportional to 169.68, 233.82 and 143.76

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Solution

The fourth proportional to 169.68, 233.82 and 143.76 is: 198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.68 : 233.82 = 143.76 : x
  2. Step 2: Convert to fraction form
    169.68/233.82 = 143.76/x
  3. Step 3: Cross multiply
    169.68x = 233.82 × 143.76
  4. Step 4: Simplify right side
    169.68x = 33,613.96
  5. Step 5: Solve for x
    x = 33,613.96/169.68
  6. Step 6: Final answer
    x = 198.10

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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.