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Finding the Fourth Proportional to 233.94, 322.82 and 168.55

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Solution

The fourth proportional to 233.94, 322.82 and 168.55 is: 232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.94 : 322.82 = 168.55 : x
  2. Step 2: Convert to fraction form
    233.94/322.82 = 168.55/x
  3. Step 3: Cross multiply
    233.94x = 322.82 × 168.55
  4. Step 4: Simplify right side
    233.94x = 54,410.29
  5. Step 5: Solve for x
    x = 54,410.29/233.94
  6. Step 6: Final answer
    x = 232.58

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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.