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Finding the Fourth Proportional to 162.14, 241.30 and 156.38

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Solution

The fourth proportional to 162.14, 241.30 and 156.38 is: 232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.14 : 241.30 = 156.38 : x
  2. Step 2: Convert to fraction form
    162.14/241.30 = 156.38/x
  3. Step 3: Cross multiply
    162.14x = 241.30 × 156.38
  4. Step 4: Simplify right side
    162.14x = 37,734.49
  5. Step 5: Solve for x
    x = 37,734.49/162.14
  6. Step 6: Final answer
    x = 232.73

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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.