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Finding the Fourth Proportional to 162.12, 242.80 and 131.37

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Solution

The fourth proportional to 162.12, 242.80 and 131.37 is: 196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.12 : 242.80 = 131.37 : x
  2. Step 2: Convert to fraction form
    162.12/242.80 = 131.37/x
  3. Step 3: Cross multiply
    162.12x = 242.80 × 131.37
  4. Step 4: Simplify right side
    162.12x = 31,896.64
  5. Step 5: Solve for x
    x = 31,896.64/162.12
  6. Step 6: Final answer
    x = 196.75

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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.