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Finding the Fourth Proportional to 531.11, 796.67 and 141.08

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Solution

The fourth proportional to 531.11, 796.67 and 141.08 is: 211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.11 : 796.67 = 141.08 : x
  2. Step 2: Convert to fraction form
    531.11/796.67 = 141.08/x
  3. Step 3: Cross multiply
    531.11x = 796.67 × 141.08
  4. Step 4: Simplify right side
    531.11x = 112,394.20
  5. Step 5: Solve for x
    x = 112,394.20/531.11
  6. Step 6: Final answer
    x = 211.62

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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.