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Finding the Fourth Proportional to 530.94, 796.41 and 165.98

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Solution

The fourth proportional to 530.94, 796.41 and 165.98 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.94 : 796.41 = 165.98 : x
  2. Step 2: Convert to fraction form
    530.94/796.41 = 165.98/x
  3. Step 3: Cross multiply
    530.94x = 796.41 × 165.98
  4. Step 4: Simplify right side
    530.94x = 132,190.12
  5. Step 5: Solve for x
    x = 132,190.12/530.94
  6. Step 6: Final answer
    x = 248.97

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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.