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Finding the Fourth Proportional to 385.13, 577.69 and 154.14

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Solution

The fourth proportional to 385.13, 577.69 and 154.14 is: 231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.13 : 577.69 = 154.14 : x
  2. Step 2: Convert to fraction form
    385.13/577.69 = 154.14/x
  3. Step 3: Cross multiply
    385.13x = 577.69 × 154.14
  4. Step 4: Simplify right side
    385.13x = 89,044.75
  5. Step 5: Solve for x
    x = 89,044.75/385.13
  6. Step 6: Final answer
    x = 231.21

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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.