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Finding the Fourth Proportional to 228.99, 343.52 and 120.75

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Solution

The fourth proportional to 228.99, 343.52 and 120.75 is: 181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.99 : 343.52 = 120.75 : x
  2. Step 2: Convert to fraction form
    228.99/343.52 = 120.75/x
  3. Step 3: Cross multiply
    228.99x = 343.52 × 120.75
  4. Step 4: Simplify right side
    228.99x = 41,480.04
  5. Step 5: Solve for x
    x = 41,480.04/228.99
  6. Step 6: Final answer
    x = 181.14

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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.