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Finding the Fourth Proportional to 233.96, 322.72 and 168.35

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Solution

The fourth proportional to 233.96, 322.72 and 168.35 is: 232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.96 : 322.72 = 168.35 : x
  2. Step 2: Convert to fraction form
    233.96/322.72 = 168.35/x
  3. Step 3: Cross multiply
    233.96x = 322.72 × 168.35
  4. Step 4: Simplify right side
    233.96x = 54,327.88
  5. Step 5: Solve for x
    x = 54,327.88/233.96
  6. Step 6: Final answer
    x = 232.22

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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.