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Finding the Fourth Proportional to 233.63, 350.78 and 232.94

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Solution

The fourth proportional to 233.63, 350.78 and 232.94 is: 349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 350.78 = 232.94 : x
  2. Step 2: Convert to fraction form
    233.63/350.78 = 232.94/x
  3. Step 3: Cross multiply
    233.63x = 350.78 × 232.94
  4. Step 4: Simplify right side
    233.63x = 81,711.72
  5. Step 5: Solve for x
    x = 81,711.72/233.63
  6. Step 6: Final answer
    x = 349.74

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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.