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Finding the Fourth Proportional to 288.43, 432.92 and 134.46

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Solution

The fourth proportional to 288.43, 432.92 and 134.46 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.43 : 432.92 = 134.46 : x
  2. Step 2: Convert to fraction form
    288.43/432.92 = 134.46/x
  3. Step 3: Cross multiply
    288.43x = 432.92 × 134.46
  4. Step 4: Simplify right side
    288.43x = 58,210.42
  5. Step 5: Solve for x
    x = 58,210.42/288.43
  6. Step 6: Final answer
    x = 201.82

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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.