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Finding the Fourth Proportional to 233.89, 351.20 and 182.66

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Solution

The fourth proportional to 233.89, 351.20 and 182.66 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.89 : 351.20 = 182.66 : x
  2. Step 2: Convert to fraction form
    233.89/351.20 = 182.66/x
  3. Step 3: Cross multiply
    233.89x = 351.20 × 182.66
  4. Step 4: Simplify right side
    233.89x = 64,148.89
  5. Step 5: Solve for x
    x = 64,148.89/233.89
  6. Step 6: Final answer
    x = 274.27

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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.