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Finding the Fourth Proportional to 289.82, 434.78 and 116.57

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Solution

The fourth proportional to 289.82, 434.78 and 116.57 is: 174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.82 : 434.78 = 116.57 : x
  2. Step 2: Convert to fraction form
    289.82/434.78 = 116.57/x
  3. Step 3: Cross multiply
    289.82x = 434.78 × 116.57
  4. Step 4: Simplify right side
    289.82x = 50,679.55
  5. Step 5: Solve for x
    x = 50,679.55/289.82
  6. Step 6: Final answer
    x = 174.87

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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.