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Finding the Fourth Proportional to 531.25, 796.82 and 165.94

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Solution

The fourth proportional to 531.25, 796.82 and 165.94 is: 248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.25 : 796.82 = 165.94 : x
  2. Step 2: Convert to fraction form
    531.25/796.82 = 165.94/x
  3. Step 3: Cross multiply
    531.25x = 796.82 × 165.94
  4. Step 4: Simplify right side
    531.25x = 132,222.73
  5. Step 5: Solve for x
    x = 132,222.73/531.25
  6. Step 6: Final answer
    x = 248.89

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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.