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Finding the Fourth Proportional to 289.58, 434.37 and 94.60

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Solution

The fourth proportional to 289.58, 434.37 and 94.60 is: 141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.58 : 434.37 = 94.60 : x
  2. Step 2: Convert to fraction form
    289.58/434.37 = 94.60/x
  3. Step 3: Cross multiply
    289.58x = 434.37 × 94.60
  4. Step 4: Simplify right side
    289.58x = 41,091.40
  5. Step 5: Solve for x
    x = 41,091.40/289.58
  6. Step 6: Final answer
    x = 141.90

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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.