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Finding the Fourth Proportional to 385.37, 578.13 and 125.41

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Solution

The fourth proportional to 385.37, 578.13 and 125.41 is: 188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.37 : 578.13 = 125.41 : x
  2. Step 2: Convert to fraction form
    385.37/578.13 = 125.41/x
  3. Step 3: Cross multiply
    385.37x = 578.13 × 125.41
  4. Step 4: Simplify right side
    385.37x = 72,503.28
  5. Step 5: Solve for x
    x = 72,503.28/385.37
  6. Step 6: Final answer
    x = 188.14

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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.