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Finding the Fourth Proportional to 233.28, 350.46 and 125.28

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Solution

The fourth proportional to 233.28, 350.46 and 125.28 is: 188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.28 : 350.46 = 125.28 : x
  2. Step 2: Convert to fraction form
    233.28/350.46 = 125.28/x
  3. Step 3: Cross multiply
    233.28x = 350.46 × 125.28
  4. Step 4: Simplify right side
    233.28x = 43,905.63
  5. Step 5: Solve for x
    x = 43,905.63/233.28
  6. Step 6: Final answer
    x = 188.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.