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Finding the Fourth Proportional to 530.96, 796.54 and 165.73

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Solution

The fourth proportional to 530.96, 796.54 and 165.73 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 796.54 = 165.73 : x
  2. Step 2: Convert to fraction form
    530.96/796.54 = 165.73/x
  3. Step 3: Cross multiply
    530.96x = 796.54 × 165.73
  4. Step 4: Simplify right side
    530.96x = 132,010.57
  5. Step 5: Solve for x
    x = 132,010.57/530.96
  6. Step 6: Final answer
    x = 248.63

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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.