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Finding the Fourth Proportional to 236.34, 353.76 and 178.20

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Solution

The fourth proportional to 236.34, 353.76 and 178.20 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.34 : 353.76 = 178.20 : x
  2. Step 2: Convert to fraction form
    236.34/353.76 = 178.20/x
  3. Step 3: Cross multiply
    236.34x = 353.76 × 178.20
  4. Step 4: Simplify right side
    236.34x = 63,040.03
  5. Step 5: Solve for x
    x = 63,040.03/236.34
  6. Step 6: Final answer
    x = 266.73

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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.