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Finding the Fourth Proportional to 162.83, 243.97 and 114.65

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Solution

The fourth proportional to 162.83, 243.97 and 114.65 is: 171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.83 : 243.97 = 114.65 : x
  2. Step 2: Convert to fraction form
    162.83/243.97 = 114.65/x
  3. Step 3: Cross multiply
    162.83x = 243.97 × 114.65
  4. Step 4: Simplify right side
    162.83x = 27,971.16
  5. Step 5: Solve for x
    x = 27,971.16/162.83
  6. Step 6: Final answer
    x = 171.78

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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.