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Finding the Fourth Proportional to 385.14, 577.70 and 111.23

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Solution

The fourth proportional to 385.14, 577.70 and 111.23 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.14 : 577.70 = 111.23 : x
  2. Step 2: Convert to fraction form
    385.14/577.70 = 111.23/x
  3. Step 3: Cross multiply
    385.14x = 577.70 × 111.23
  4. Step 4: Simplify right side
    385.14x = 64,259.29
  5. Step 5: Solve for x
    x = 64,259.29/385.14
  6. Step 6: Final answer
    x = 166.85

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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.