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Finding the Fourth Proportional to 530.96, 796.58 and 165.80

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Solution

The fourth proportional to 530.96, 796.58 and 165.80 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 796.58 = 165.80 : x
  2. Step 2: Convert to fraction form
    530.96/796.58 = 165.80/x
  3. Step 3: Cross multiply
    530.96x = 796.58 × 165.80
  4. Step 4: Simplify right side
    530.96x = 132,072.96
  5. Step 5: Solve for x
    x = 132,072.96/530.96
  6. Step 6: Final answer
    x = 248.74

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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.