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Finding the Fourth Proportional to 165.10, 246.37 and 138.10

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Solution

The fourth proportional to 165.10, 246.37 and 138.10 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.10 : 246.37 = 138.10 : x
  2. Step 2: Convert to fraction form
    165.10/246.37 = 138.10/x
  3. Step 3: Cross multiply
    165.10x = 246.37 × 138.10
  4. Step 4: Simplify right side
    165.10x = 34,023.70
  5. Step 5: Solve for x
    x = 34,023.70/165.10
  6. Step 6: Final answer
    x = 206.08

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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.