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Finding the Fourth Proportional to 361.48, 542.38 and 178.77

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Solution

The fourth proportional to 361.48, 542.38 and 178.77 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.48 : 542.38 = 178.77 : x
  2. Step 2: Convert to fraction form
    361.48/542.38 = 178.77/x
  3. Step 3: Cross multiply
    361.48x = 542.38 × 178.77
  4. Step 4: Simplify right side
    361.48x = 96,961.27
  5. Step 5: Solve for x
    x = 96,961.27/361.48
  6. Step 6: Final answer
    x = 268.23

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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.