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Finding the Fourth Proportional to 530.97, 796.42 and 165.76

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Solution

The fourth proportional to 530.97, 796.42 and 165.76 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.97 : 796.42 = 165.76 : x
  2. Step 2: Convert to fraction form
    530.97/796.42 = 165.76/x
  3. Step 3: Cross multiply
    530.97x = 796.42 × 165.76
  4. Step 4: Simplify right side
    530.97x = 132,014.58
  5. Step 5: Solve for x
    x = 132,014.58/530.97
  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.