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Finding the Fourth Proportional to 233.46, 321.96 and 159.63

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Solution

The fourth proportional to 233.46, 321.96 and 159.63 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 321.96 = 159.63 : x
  2. Step 2: Convert to fraction form
    233.46/321.96 = 159.63/x
  3. Step 3: Cross multiply
    233.46x = 321.96 × 159.63
  4. Step 4: Simplify right side
    233.46x = 51,394.47
  5. Step 5: Solve for x
    x = 51,394.47/233.46
  6. Step 6: Final answer
    x = 220.14

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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.