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Finding the Fourth Proportional to 228.94, 343.14 and 120.54

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Solution

The fourth proportional to 228.94, 343.14 and 120.54 is: 180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.94 : 343.14 = 120.54 : x
  2. Step 2: Convert to fraction form
    228.94/343.14 = 120.54/x
  3. Step 3: Cross multiply
    228.94x = 343.14 × 120.54
  4. Step 4: Simplify right side
    228.94x = 41,362.10
  5. Step 5: Solve for x
    x = 41,362.10/228.94
  6. Step 6: Final answer
    x = 180.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.