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Finding the Fourth Proportional to 385.20, 578.04 and 168.96

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Solution

The fourth proportional to 385.20, 578.04 and 168.96 is: 253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 578.04 = 168.96 : x
  2. Step 2: Convert to fraction form
    385.20/578.04 = 168.96/x
  3. Step 3: Cross multiply
    385.20x = 578.04 × 168.96
  4. Step 4: Simplify right side
    385.20x = 97,665.64
  5. Step 5: Solve for x
    x = 97,665.64/385.20
  6. Step 6: Final answer
    x = 253.55

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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.