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Finding the Fourth Proportional to 233.94, 351.09 and 180.06

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Solution

The fourth proportional to 233.94, 351.09 and 180.06 is: 270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.94 : 351.09 = 180.06 : x
  2. Step 2: Convert to fraction form
    233.94/351.09 = 180.06/x
  3. Step 3: Cross multiply
    233.94x = 351.09 × 180.06
  4. Step 4: Simplify right side
    233.94x = 63,217.27
  5. Step 5: Solve for x
    x = 63,217.27/233.94
  6. Step 6: Final answer
    x = 270.23

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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.