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Finding the Fourth Proportional to 288.63, 432.67 and 134.48

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Solution

The fourth proportional to 288.63, 432.67 and 134.48 is: 201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.63 : 432.67 = 134.48 : x
  2. Step 2: Convert to fraction form
    288.63/432.67 = 134.48/x
  3. Step 3: Cross multiply
    288.63x = 432.67 × 134.48
  4. Step 4: Simplify right side
    288.63x = 58,182.96
  5. Step 5: Solve for x
    x = 58,182.96/288.63
  6. Step 6: Final answer
    x = 201.59

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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.