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Finding the Fourth Proportional to 293, 438.57 and 201.23

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Solution

The fourth proportional to 293, 438.57 and 201.23 is: 301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293 : 438.57 = 201.23 : x
  2. Step 2: Convert to fraction form
    293/438.57 = 201.23/x
  3. Step 3: Cross multiply
    293x = 438.57 × 201.23
  4. Step 4: Simplify right side
    293x = 88,253.44
  5. Step 5: Solve for x
    x = 88,253.44/293
  6. Step 6: Final answer
    x = 301.21

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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.