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Finding the Fourth Proportional to 165.24, 246.15 and 162

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Solution

The fourth proportional to 165.24, 246.15 and 162 is: 241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 246.15 = 162 : x
  2. Step 2: Convert to fraction form
    165.24/246.15 = 162/x
  3. Step 3: Cross multiply
    165.24x = 246.15 × 162
  4. Step 4: Simplify right side
    165.24x = 39,876.30
  5. Step 5: Solve for x
    x = 39,876.30/165.24
  6. Step 6: Final answer
    x = 241.32

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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.