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Finding the Fourth Proportional to 531.09, 796.47 and 165.78

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Solution

The fourth proportional to 531.09, 796.47 and 165.78 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.09 : 796.47 = 165.78 : x
  2. Step 2: Convert to fraction form
    531.09/796.47 = 165.78/x
  3. Step 3: Cross multiply
    531.09x = 796.47 × 165.78
  4. Step 4: Simplify right side
    531.09x = 132,038.17
  5. Step 5: Solve for x
    x = 132,038.17/531.09
  6. Step 6: Final answer
    x = 248.62

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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.