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Finding the Fourth Proportional to 361.80, 542.67 and 118.33

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Solution

The fourth proportional to 361.80, 542.67 and 118.33 is: 177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.80 : 542.67 = 118.33 : x
  2. Step 2: Convert to fraction form
    361.80/542.67 = 118.33/x
  3. Step 3: Cross multiply
    361.80x = 542.67 × 118.33
  4. Step 4: Simplify right side
    361.80x = 64,214.14
  5. Step 5: Solve for x
    x = 64,214.14/361.80
  6. Step 6: Final answer
    x = 177.49

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Why These Related Problems?

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