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Finding the Fourth Proportional to 233.70, 350.78 and 182.89

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Solution

The fourth proportional to 233.70, 350.78 and 182.89 is: 274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.70 : 350.78 = 182.89 : x
  2. Step 2: Convert to fraction form
    233.70/350.78 = 182.89/x
  3. Step 3: Cross multiply
    233.70x = 350.78 × 182.89
  4. Step 4: Simplify right side
    233.70x = 64,154.15
  5. Step 5: Solve for x
    x = 64,154.15/233.70
  6. Step 6: Final answer
    x = 274.51

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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.