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Finding the Fourth Proportional to 289.78, 434.41 and 135.62

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Solution

The fourth proportional to 289.78, 434.41 and 135.62 is: 203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.78 : 434.41 = 135.62 : x
  2. Step 2: Convert to fraction form
    289.78/434.41 = 135.62/x
  3. Step 3: Cross multiply
    289.78x = 434.41 × 135.62
  4. Step 4: Simplify right side
    289.78x = 58,917.01
  5. Step 5: Solve for x
    x = 58,917.01/289.78
  6. Step 6: Final answer
    x = 203.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.