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Finding the Fourth Proportional to 162.19, 243.38 and 160.82

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Solution

The fourth proportional to 162.19, 243.38 and 160.82 is: 241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.19 : 243.38 = 160.82 : x
  2. Step 2: Convert to fraction form
    162.19/243.38 = 160.82/x
  3. Step 3: Cross multiply
    162.19x = 243.38 × 160.82
  4. Step 4: Simplify right side
    162.19x = 39,140.37
  5. Step 5: Solve for x
    x = 39,140.37/162.19
  6. Step 6: Final answer
    x = 241.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.