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Finding the Fourth Proportional to 235.31, 324.74 and 131.81

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Solution

The fourth proportional to 235.31, 324.74 and 131.81 is: 181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.31 : 324.74 = 131.81 : x
  2. Step 2: Convert to fraction form
    235.31/324.74 = 131.81/x
  3. Step 3: Cross multiply
    235.31x = 324.74 × 131.81
  4. Step 4: Simplify right side
    235.31x = 42,803.98
  5. Step 5: Solve for x
    x = 42,803.98/235.31
  6. Step 6: Final answer
    x = 181.90

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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.