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Finding the Fourth Proportional to 385.55, 578.38 and 125.46

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Solution

The fourth proportional to 385.55, 578.38 and 125.46 is: 188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.55 : 578.38 = 125.46 : x
  2. Step 2: Convert to fraction form
    385.55/578.38 = 125.46/x
  3. Step 3: Cross multiply
    385.55x = 578.38 × 125.46
  4. Step 4: Simplify right side
    385.55x = 72,563.48
  5. Step 5: Solve for x
    x = 72,563.48/385.55
  6. Step 6: Final answer
    x = 188.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.