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Finding the Fourth Proportional to 385.29, 578.07 and 165.96

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Solution

The fourth proportional to 385.29, 578.07 and 165.96 is: 249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.29 : 578.07 = 165.96 : x
  2. Step 2: Convert to fraction form
    385.29/578.07 = 165.96/x
  3. Step 3: Cross multiply
    385.29x = 578.07 × 165.96
  4. Step 4: Simplify right side
    385.29x = 95,936.50
  5. Step 5: Solve for x
    x = 95,936.50/385.29
  6. Step 6: Final answer
    x = 249.00

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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.