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Finding the Fourth Proportional to 162.02, 223.17 and 141.26

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Solution

The fourth proportional to 162.02, 223.17 and 141.26 is: 194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.02 : 223.17 = 141.26 : x
  2. Step 2: Convert to fraction form
    162.02/223.17 = 141.26/x
  3. Step 3: Cross multiply
    162.02x = 223.17 × 141.26
  4. Step 4: Simplify right side
    162.02x = 31,524.99
  5. Step 5: Solve for x
    x = 31,524.99/162.02
  6. Step 6: Final answer
    x = 194.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.