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Finding the Fourth Proportional to 289.36, 434.24 and 135.46

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Solution

The fourth proportional to 289.36, 434.24 and 135.46 is: 203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.36 : 434.24 = 135.46 : x
  2. Step 2: Convert to fraction form
    289.36/434.24 = 135.46/x
  3. Step 3: Cross multiply
    289.36x = 434.24 × 135.46
  4. Step 4: Simplify right side
    289.36x = 58,822.15
  5. Step 5: Solve for x
    x = 58,822.15/289.36
  6. Step 6: Final answer
    x = 203.28

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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.