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Finding the Fourth Proportional to 289.94, 434.32 and 197.10

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Solution

The fourth proportional to 289.94, 434.32 and 197.10 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.94 : 434.32 = 197.10 : x
  2. Step 2: Convert to fraction form
    289.94/434.32 = 197.10/x
  3. Step 3: Cross multiply
    289.94x = 434.32 × 197.10
  4. Step 4: Simplify right side
    289.94x = 85,604.47
  5. Step 5: Solve for x
    x = 85,604.47/289.94
  6. Step 6: Final answer
    x = 295.25

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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.