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Finding the Fourth Proportional to 289.92, 435.12 and 127.92

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Solution

The fourth proportional to 289.92, 435.12 and 127.92 is: 191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.92 : 435.12 = 127.92 : x
  2. Step 2: Convert to fraction form
    289.92/435.12 = 127.92/x
  3. Step 3: Cross multiply
    289.92x = 435.12 × 127.92
  4. Step 4: Simplify right side
    289.92x = 55,660.55
  5. Step 5: Solve for x
    x = 55,660.55/289.92
  6. Step 6: Final answer
    x = 191.99

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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.