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Finding the Fourth Proportional to 233.67, 322.35 and 181.11

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Solution

The fourth proportional to 233.67, 322.35 and 181.11 is: 249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.67 : 322.35 = 181.11 : x
  2. Step 2: Convert to fraction form
    233.67/322.35 = 181.11/x
  3. Step 3: Cross multiply
    233.67x = 322.35 × 181.11
  4. Step 4: Simplify right side
    233.67x = 58,380.81
  5. Step 5: Solve for x
    x = 58,380.81/233.67
  6. Step 6: Final answer
    x = 249.84

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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.