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Finding the Fourth Proportional to 289.78, 434.14 and 203.20

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Solution

The fourth proportional to 289.78, 434.14 and 203.20 is: 304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.78 : 434.14 = 203.20 : x
  2. Step 2: Convert to fraction form
    289.78/434.14 = 203.20/x
  3. Step 3: Cross multiply
    289.78x = 434.14 × 203.20
  4. Step 4: Simplify right side
    289.78x = 88,217.25
  5. Step 5: Solve for x
    x = 88,217.25/289.78
  6. Step 6: Final answer
    x = 304.43

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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.