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Finding the Fourth Proportional to 233.82, 350.01 and 123.84

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Solution

The fourth proportional to 233.82, 350.01 and 123.84 is: 185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 350.01 = 123.84 : x
  2. Step 2: Convert to fraction form
    233.82/350.01 = 123.84/x
  3. Step 3: Cross multiply
    233.82x = 350.01 × 123.84
  4. Step 4: Simplify right side
    233.82x = 43,345.24
  5. Step 5: Solve for x
    x = 43,345.24/233.82
  6. Step 6: Final answer
    x = 185.38

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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.