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Finding the Fourth Proportional to 385.66, 578.03 and 141.90

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Solution

The fourth proportional to 385.66, 578.03 and 141.90 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.66 : 578.03 = 141.90 : x
  2. Step 2: Convert to fraction form
    385.66/578.03 = 141.90/x
  3. Step 3: Cross multiply
    385.66x = 578.03 × 141.90
  4. Step 4: Simplify right side
    385.66x = 82,018.86
  5. Step 5: Solve for x
    x = 82,018.86/385.66
  6. Step 6: Final answer
    x = 212.67

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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.