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Finding the Fourth Proportional to 531.12, 796.38 and 165.81

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Solution

The fourth proportional to 531.12, 796.38 and 165.81 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.12 : 796.38 = 165.81 : x
  2. Step 2: Convert to fraction form
    531.12/796.38 = 165.81/x
  3. Step 3: Cross multiply
    531.12x = 796.38 × 165.81
  4. Step 4: Simplify right side
    531.12x = 132,047.77
  5. Step 5: Solve for x
    x = 132,047.77/531.12
  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.