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Finding the Fourth Proportional to 385.30, 577.80 and 165.94

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Solution

The fourth proportional to 385.30, 577.80 and 165.94 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.30 : 577.80 = 165.94 : x
  2. Step 2: Convert to fraction form
    385.30/577.80 = 165.94/x
  3. Step 3: Cross multiply
    385.30x = 577.80 × 165.94
  4. Step 4: Simplify right side
    385.30x = 95,880.13
  5. Step 5: Solve for x
    x = 95,880.13/385.30
  6. Step 6: Final answer
    x = 248.85

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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.