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Finding the Fourth Proportional to 384.74, 577.09 and 110.82

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Solution

The fourth proportional to 384.74, 577.09 and 110.82 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.74 : 577.09 = 110.82 : x
  2. Step 2: Convert to fraction form
    384.74/577.09 = 110.82/x
  3. Step 3: Cross multiply
    384.74x = 577.09 × 110.82
  4. Step 4: Simplify right side
    384.74x = 63,952.56
  5. Step 5: Solve for x
    x = 63,952.56/384.74
  6. Step 6: Final answer
    x = 166.22

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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.