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Finding the Fourth Proportional to 292.69, 439.10 and 201.43

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Solution

The fourth proportional to 292.69, 439.10 and 201.43 is: 302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.69 : 439.10 = 201.43 : x
  2. Step 2: Convert to fraction form
    292.69/439.10 = 201.43/x
  3. Step 3: Cross multiply
    292.69x = 439.10 × 201.43
  4. Step 4: Simplify right side
    292.69x = 88,447.91
  5. Step 5: Solve for x
    x = 88,447.91/292.69
  6. Step 6: Final answer
    x = 302.19

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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.