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Finding the Fourth Proportional to 361.14, 541.16 and 166.02

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Solution

The fourth proportional to 361.14, 541.16 and 166.02 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.14 : 541.16 = 166.02 : x
  2. Step 2: Convert to fraction form
    361.14/541.16 = 166.02/x
  3. Step 3: Cross multiply
    361.14x = 541.16 × 166.02
  4. Step 4: Simplify right side
    361.14x = 89,842.55
  5. Step 5: Solve for x
    x = 89,842.55/361.14
  6. Step 6: Final answer
    x = 248.77

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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.