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Finding the Fourth Proportional to 361.71, 541.85 and 188.49

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Solution

The fourth proportional to 361.71, 541.85 and 188.49 is: 282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.71 : 541.85 = 188.49 : x
  2. Step 2: Convert to fraction form
    361.71/541.85 = 188.49/x
  3. Step 3: Cross multiply
    361.71x = 541.85 × 188.49
  4. Step 4: Simplify right side
    361.71x = 102,133.31
  5. Step 5: Solve for x
    x = 102,133.31/361.71
  6. Step 6: Final answer
    x = 282.36

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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.