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Finding the Fourth Proportional to 165.16, 246.29 and 138.28

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Solution

The fourth proportional to 165.16, 246.29 and 138.28 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 246.29 = 138.28 : x
  2. Step 2: Convert to fraction form
    165.16/246.29 = 138.28/x
  3. Step 3: Cross multiply
    165.16x = 246.29 × 138.28
  4. Step 4: Simplify right side
    165.16x = 34,056.98
  5. Step 5: Solve for x
    x = 34,056.98/165.16
  6. Step 6: Final answer
    x = 206.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.