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Finding the Fourth Proportional to 385.15, 577.94 and 179.67

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Solution

The fourth proportional to 385.15, 577.94 and 179.67 is: 269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.15 : 577.94 = 179.67 : x
  2. Step 2: Convert to fraction form
    385.15/577.94 = 179.67/x
  3. Step 3: Cross multiply
    385.15x = 577.94 × 179.67
  4. Step 4: Simplify right side
    385.15x = 103,838.48
  5. Step 5: Solve for x
    x = 103,838.48/385.15
  6. Step 6: Final answer
    x = 269.61

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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.