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Finding the Fourth Proportional to 232.42, 322.27 and 220.12

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Solution

The fourth proportional to 232.42, 322.27 and 220.12 is: 305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.42 : 322.27 = 220.12 : x
  2. Step 2: Convert to fraction form
    232.42/322.27 = 220.12/x
  3. Step 3: Cross multiply
    232.42x = 322.27 × 220.12
  4. Step 4: Simplify right side
    232.42x = 70,938.07
  5. Step 5: Solve for x
    x = 70,938.07/232.42
  6. Step 6: Final answer
    x = 305.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.