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Finding the Fourth Proportional to 385.26, 577.44 and 165.84

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Solution

The fourth proportional to 385.26, 577.44 and 165.84 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.26 : 577.44 = 165.84 : x
  2. Step 2: Convert to fraction form
    385.26/577.44 = 165.84/x
  3. Step 3: Cross multiply
    385.26x = 577.44 × 165.84
  4. Step 4: Simplify right side
    385.26x = 95,762.65
  5. Step 5: Solve for x
    x = 95,762.65/385.26
  6. Step 6: Final answer
    x = 248.57

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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.