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Finding the Fourth Proportional to 531.18, 796.81 and 166.06

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Solution

The fourth proportional to 531.18, 796.81 and 166.06 is: 249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.18 : 796.81 = 166.06 : x
  2. Step 2: Convert to fraction form
    531.18/796.81 = 166.06/x
  3. Step 3: Cross multiply
    531.18x = 796.81 × 166.06
  4. Step 4: Simplify right side
    531.18x = 132,318.27
  5. Step 5: Solve for x
    x = 132,318.27/531.18
  6. Step 6: Final answer
    x = 249.10

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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.