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Finding the Fourth Proportional to 234.03, 322.67 and 160.22

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Solution

The fourth proportional to 234.03, 322.67 and 160.22 is: 220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.03 : 322.67 = 160.22 : x
  2. Step 2: Convert to fraction form
    234.03/322.67 = 160.22/x
  3. Step 3: Cross multiply
    234.03x = 322.67 × 160.22
  4. Step 4: Simplify right side
    234.03x = 51,698.19
  5. Step 5: Solve for x
    x = 51,698.19/234.03
  6. Step 6: Final answer
    x = 220.90

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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.