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Finding the Fourth Proportional to 361.80, 542.65 and 166.80

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Solution

The fourth proportional to 361.80, 542.65 and 166.80 is: 250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.80 : 542.65 = 166.80 : x
  2. Step 2: Convert to fraction form
    361.80/542.65 = 166.80/x
  3. Step 3: Cross multiply
    361.80x = 542.65 × 166.80
  4. Step 4: Simplify right side
    361.80x = 90,514.02
  5. Step 5: Solve for x
    x = 90,514.02/361.80
  6. Step 6: Final answer
    x = 250.18

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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.