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Finding the Fourth Proportional to 361.77, 542.21 and 188.34

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Solution

The fourth proportional to 361.77, 542.21 and 188.34 is: 282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.77 : 542.21 = 188.34 : x
  2. Step 2: Convert to fraction form
    361.77/542.21 = 188.34/x
  3. Step 3: Cross multiply
    361.77x = 542.21 × 188.34
  4. Step 4: Simplify right side
    361.77x = 102,120.30
  5. Step 5: Solve for x
    x = 102,120.30/361.77
  6. Step 6: Final answer
    x = 282.28

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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.