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Finding the Fourth Proportional to 385.22, 577.80 and 179.78

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Solution

The fourth proportional to 385.22, 577.80 and 179.78 is: 269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.22 : 577.80 = 179.78 : x
  2. Step 2: Convert to fraction form
    385.22/577.80 = 179.78/x
  3. Step 3: Cross multiply
    385.22x = 577.80 × 179.78
  4. Step 4: Simplify right side
    385.22x = 103,876.88
  5. Step 5: Solve for x
    x = 103,876.88/385.22
  6. Step 6: Final answer
    x = 269.66

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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.