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Finding the Fourth Proportional to 234.64, 323.88 and 172.60

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Solution

The fourth proportional to 234.64, 323.88 and 172.60 is: 238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.64 : 323.88 = 172.60 : x
  2. Step 2: Convert to fraction form
    234.64/323.88 = 172.60/x
  3. Step 3: Cross multiply
    234.64x = 323.88 × 172.60
  4. Step 4: Simplify right side
    234.64x = 55,901.69
  5. Step 5: Solve for x
    x = 55,901.69/234.64
  6. Step 6: Final answer
    x = 238.24

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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.