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Finding the Fourth Proportional to 232.37, 347.92 and 178.01

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Solution

The fourth proportional to 232.37, 347.92 and 178.01 is: 266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.37 : 347.92 = 178.01 : x
  2. Step 2: Convert to fraction form
    232.37/347.92 = 178.01/x
  3. Step 3: Cross multiply
    232.37x = 347.92 × 178.01
  4. Step 4: Simplify right side
    232.37x = 61,933.24
  5. Step 5: Solve for x
    x = 61,933.24/232.37
  6. Step 6: Final answer
    x = 266.53

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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.