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Finding the Fourth Proportional to 233.44, 348.20 and 229.84

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Solution

The fourth proportional to 233.44, 348.20 and 229.84 is: 342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.44 : 348.20 = 229.84 : x
  2. Step 2: Convert to fraction form
    233.44/348.20 = 229.84/x
  3. Step 3: Cross multiply
    233.44x = 348.20 × 229.84
  4. Step 4: Simplify right side
    233.44x = 80,030.29
  5. Step 5: Solve for x
    x = 80,030.29/233.44
  6. Step 6: Final answer
    x = 342.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.