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Finding the Fourth Proportional to 231.80, 345.93 and 204.44

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Solution

The fourth proportional to 231.80, 345.93 and 204.44 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.80 : 345.93 = 204.44 : x
  2. Step 2: Convert to fraction form
    231.80/345.93 = 204.44/x
  3. Step 3: Cross multiply
    231.80x = 345.93 × 204.44
  4. Step 4: Simplify right side
    231.80x = 70,721.93
  5. Step 5: Solve for x
    x = 70,721.93/231.80
  6. Step 6: Final answer
    x = 305.10

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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.