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Finding the Fourth Proportional to 165.24, 246.44 and 162.51

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Solution

The fourth proportional to 165.24, 246.44 and 162.51 is: 242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 246.44 = 162.51 : x
  2. Step 2: Convert to fraction form
    165.24/246.44 = 162.51/x
  3. Step 3: Cross multiply
    165.24x = 246.44 × 162.51
  4. Step 4: Simplify right side
    165.24x = 40,048.45
  5. Step 5: Solve for x
    x = 40,048.45/165.24
  6. Step 6: Final answer
    x = 242.37

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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.