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Finding the Fourth Proportional to 385.02, 577.11 and 141.34

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Solution

The fourth proportional to 385.02, 577.11 and 141.34 is: 211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.02 : 577.11 = 141.34 : x
  2. Step 2: Convert to fraction form
    385.02/577.11 = 141.34/x
  3. Step 3: Cross multiply
    385.02x = 577.11 × 141.34
  4. Step 4: Simplify right side
    385.02x = 81,568.73
  5. Step 5: Solve for x
    x = 81,568.73/385.02
  6. Step 6: Final answer
    x = 211.86

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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.