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Finding the Fourth Proportional to 288.45, 432.79 and 134.26

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Solution

The fourth proportional to 288.45, 432.79 and 134.26 is: 201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.45 : 432.79 = 134.26 : x
  2. Step 2: Convert to fraction form
    288.45/432.79 = 134.26/x
  3. Step 3: Cross multiply
    288.45x = 432.79 × 134.26
  4. Step 4: Simplify right side
    288.45x = 58,104.97
  5. Step 5: Solve for x
    x = 58,104.97/288.45
  6. Step 6: Final answer
    x = 201.44

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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.