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Finding the Fourth Proportional to 361.77, 541.64 and 188.06

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Solution

The fourth proportional to 361.77, 541.64 and 188.06 is: 281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.77 : 541.64 = 188.06 : x
  2. Step 2: Convert to fraction form
    361.77/541.64 = 188.06/x
  3. Step 3: Cross multiply
    361.77x = 541.64 × 188.06
  4. Step 4: Simplify right side
    361.77x = 101,857.52
  5. Step 5: Solve for x
    x = 101,857.52/361.77
  6. Step 6: Final answer
    x = 281.56

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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.