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Finding the Fourth Proportional to 231.09, 347.13 and 201.39

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Solution

The fourth proportional to 231.09, 347.13 and 201.39 is: 302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 347.13 = 201.39 : x
  2. Step 2: Convert to fraction form
    231.09/347.13 = 201.39/x
  3. Step 3: Cross multiply
    231.09x = 347.13 × 201.39
  4. Step 4: Simplify right side
    231.09x = 69,908.51
  5. Step 5: Solve for x
    x = 69,908.51/231.09
  6. Step 6: Final answer
    x = 302.52

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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.