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Finding the Fourth Proportional to 162.36, 241.92 and 160.20

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Solution

The fourth proportional to 162.36, 241.92 and 160.20 is: 238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.36 : 241.92 = 160.20 : x
  2. Step 2: Convert to fraction form
    162.36/241.92 = 160.20/x
  3. Step 3: Cross multiply
    162.36x = 241.92 × 160.20
  4. Step 4: Simplify right side
    162.36x = 38,755.58
  5. Step 5: Solve for x
    x = 38,755.58/162.36
  6. Step 6: Final answer
    x = 238.70

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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.