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Finding the Fourth Proportional to 384.86, 577.18 and 110.97

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Solution

The fourth proportional to 384.86, 577.18 and 110.97 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.86 : 577.18 = 110.97 : x
  2. Step 2: Convert to fraction form
    384.86/577.18 = 110.97/x
  3. Step 3: Cross multiply
    384.86x = 577.18 × 110.97
  4. Step 4: Simplify right side
    384.86x = 64,049.66
  5. Step 5: Solve for x
    x = 64,049.66/384.86
  6. Step 6: Final answer
    x = 166.42

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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.