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Finding the Fourth Proportional to 385.86, 578.86 and 180.66

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Solution

The fourth proportional to 385.86, 578.86 and 180.66 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 578.86 = 180.66 : x
  2. Step 2: Convert to fraction form
    385.86/578.86 = 180.66/x
  3. Step 3: Cross multiply
    385.86x = 578.86 × 180.66
  4. Step 4: Simplify right side
    385.86x = 104,576.85
  5. Step 5: Solve for x
    x = 104,576.85/385.86
  6. Step 6: Final answer
    x = 271.02

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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.