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Finding the Fourth Proportional to 190.90, 264.13 and 166.39

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Solution

The fourth proportional to 190.90, 264.13 and 166.39 is: 230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.90 : 264.13 = 166.39 : x
  2. Step 2: Convert to fraction form
    190.90/264.13 = 166.39/x
  3. Step 3: Cross multiply
    190.90x = 264.13 × 166.39
  4. Step 4: Simplify right side
    190.90x = 43,948.35
  5. Step 5: Solve for x
    x = 43,948.35/190.90
  6. Step 6: Final answer
    x = 230.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.