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Finding the Fourth Proportional to 385.23, 577.76 and 111.26

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Solution

The fourth proportional to 385.23, 577.76 and 111.26 is: 166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.23 : 577.76 = 111.26 : x
  2. Step 2: Convert to fraction form
    385.23/577.76 = 111.26/x
  3. Step 3: Cross multiply
    385.23x = 577.76 × 111.26
  4. Step 4: Simplify right side
    385.23x = 64,281.58
  5. Step 5: Solve for x
    x = 64,281.58/385.23
  6. Step 6: Final answer
    x = 166.87

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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.