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Finding the Fourth Proportional to 385.94, 578.92 and 112.07

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Solution

The fourth proportional to 385.94, 578.92 and 112.07 is: 168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.94 : 578.92 = 112.07 : x
  2. Step 2: Convert to fraction form
    385.94/578.92 = 112.07/x
  3. Step 3: Cross multiply
    385.94x = 578.92 × 112.07
  4. Step 4: Simplify right side
    385.94x = 64,879.56
  5. Step 5: Solve for x
    x = 64,879.56/385.94
  6. Step 6: Final answer
    x = 168.11

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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.