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Finding the Fourth Proportional to 361, 541.82 and 207.08

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Solution

The fourth proportional to 361, 541.82 and 207.08 is: 310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361 : 541.82 = 207.08 : x
  2. Step 2: Convert to fraction form
    361/541.82 = 207.08/x
  3. Step 3: Cross multiply
    361x = 541.82 × 207.08
  4. Step 4: Simplify right side
    361x = 112,200.09
  5. Step 5: Solve for x
    x = 112,200.09/361
  6. Step 6: Final answer
    x = 310.80

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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.