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Finding the Fourth Proportional to 385.10, 577.76 and 111.22

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Solution

The fourth proportional to 385.10, 577.76 and 111.22 is: 166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 577.76 = 111.22 : x
  2. Step 2: Convert to fraction form
    385.10/577.76 = 111.22/x
  3. Step 3: Cross multiply
    385.10x = 577.76 × 111.22
  4. Step 4: Simplify right side
    385.10x = 64,257.30
  5. Step 5: Solve for x
    x = 64,257.30/385.10
  6. Step 6: Final answer
    x = 166.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.