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Finding the Fourth Proportional to 385.22, 577.96 and 179.81

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Solution

The fourth proportional to 385.22, 577.96 and 179.81 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.22 : 577.96 = 179.81 : x
  2. Step 2: Convert to fraction form
    385.22/577.96 = 179.81/x
  3. Step 3: Cross multiply
    385.22x = 577.96 × 179.81
  4. Step 4: Simplify right side
    385.22x = 103,921.51
  5. Step 5: Solve for x
    x = 103,921.51/385.22
  6. Step 6: Final answer
    x = 269.77

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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.