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Finding the Fourth Proportional to 162.86, 223.53 and 144.12

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Solution

The fourth proportional to 162.86, 223.53 and 144.12 is: 197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.86 : 223.53 = 144.12 : x
  2. Step 2: Convert to fraction form
    162.86/223.53 = 144.12/x
  3. Step 3: Cross multiply
    162.86x = 223.53 × 144.12
  4. Step 4: Simplify right side
    162.86x = 32,215.14
  5. Step 5: Solve for x
    x = 32,215.14/162.86
  6. Step 6: Final answer
    x = 197.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.