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Finding the Fourth Proportional to 231.02, 344.84 and 203.69

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Solution

The fourth proportional to 231.02, 344.84 and 203.69 is: 304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.02 : 344.84 = 203.69 : x
  2. Step 2: Convert to fraction form
    231.02/344.84 = 203.69/x
  3. Step 3: Cross multiply
    231.02x = 344.84 × 203.69
  4. Step 4: Simplify right side
    231.02x = 70,237.72
  5. Step 5: Solve for x
    x = 70,237.72/231.02
  6. Step 6: Final answer
    x = 304.04

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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.