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Finding the Fourth Proportional to 235.02, 324.09 and 181.16

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Solution

The fourth proportional to 235.02, 324.09 and 181.16 is: 249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.02 : 324.09 = 181.16 : x
  2. Step 2: Convert to fraction form
    235.02/324.09 = 181.16/x
  3. Step 3: Cross multiply
    235.02x = 324.09 × 181.16
  4. Step 4: Simplify right side
    235.02x = 58,710.52
  5. Step 5: Solve for x
    x = 58,710.52/235.02
  6. Step 6: Final answer
    x = 249.81

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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.