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Finding the Fourth Proportional to 233.09, 348.95 and 231.27

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Solution

The fourth proportional to 233.09, 348.95 and 231.27 is: 346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.09 : 348.95 = 231.27 : x
  2. Step 2: Convert to fraction form
    233.09/348.95 = 231.27/x
  3. Step 3: Cross multiply
    233.09x = 348.95 × 231.27
  4. Step 4: Simplify right side
    233.09x = 80,700.51
  5. Step 5: Solve for x
    x = 80,700.51/233.09
  6. Step 6: Final answer
    x = 346.23

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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.